{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>Debt</th>\n",
       "      <th>Income</th>\n",
       "      <th>Status</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1170.93</td>\n",
       "      <td>6552.53</td>\n",
       "      <td>Did Not Pay</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>570.94</td>\n",
       "      <td>7247.80</td>\n",
       "      <td>Did Not Pay</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>422.67</td>\n",
       "      <td>8074.38</td>\n",
       "      <td>Did Not Pay</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>872.42</td>\n",
       "      <td>5776.60</td>\n",
       "      <td>Did Not Pay</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>887.56</td>\n",
       "      <td>6297.35</td>\n",
       "      <td>Did Not Pay</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0     Debt   Income       Status\n",
       "0           0  1170.93  6552.53  Did Not Pay\n",
       "1           1   570.94  7247.80  Did Not Pay\n",
       "2           2   422.67  8074.38  Did Not Pay\n",
       "3           3   872.42  5776.60  Did Not Pay\n",
       "4           4   887.56  6297.35  Did Not Pay"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "file1 = r'D:\\Programing\\python_projects\\machine_learning_algorithm\\data_set\\lec1_pay_status.csv'\n",
    "df = pd.read_csv(file1)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x167745b4788>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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s9BzaIkFzMIqizAXOB7KEEH3LbC8CFwAuYC9wvRCioOy5R4AZgBe4SwjxXZl9IvAqoAXeFUI8H6w5+5G1zd+WngbDZoI1Dj6p8gf9+8sQ2wsueh2yd4ExRF2pGKyABi59F5Y9XOlcANbNhZF3guU4pVNFgdD2UFSliZLW4F9DUwuFNheLNmXw4nc7cXq8XDciiZvHdSXKKlsgS1oxx2di1mWvJ1VbJpezfPlyfvzxR1auXInFYmH8+PEVcvhVaYh8/6lGMIP87wMTj7P9APQVQqQAu4BHABRFOQ24AuhTdsz/KYqiVRRFC7wBTAJOA64sG9s0xNfQSztpNHQaBQd+939u70/gsqurnvfPg+3fQJfxENkJCtJr/hDYsv1XJpYY1VFp9ZW2s55SYzb1JL3AzmMLt1Bod+Nw+3h7xT5+251d7+MlTY/L4yOryEFWkYNSp6fuA05FwhMaZj8JCgsLiYyMxGKxsGPHDlatWuU3ZuzYsSxYsAC73U5xcTGLFi0K+DxaM0FzMEKIFUDecbbvhRDln5xVQPlfxUXAZ0IIpxBiP7AHGFr2s0cIsU8I4QI+KxvbNFii4cLXwRimPu56BvS/Uq28T6hBcDRxGPz0hLovDKoTWvqg6igSh6lba1UxRYAAvn8USqrc/G15atX/XRvVuMvdmyD16rLVUP34dae/M1m6OQO7S6Y+t0QK7W4+WX2QM176ldH/+oXnl+0gr9TZ3NNqeZzxuJooUxW9WbUHmIkTJ+LxeEhJSeEf//gHw4cP9xszcOBApk6dSmpqKpdeemmtrY5PRZozBnMDMK/s946oDqec9DIbwOHj7MOCP7UyTGHqvm7iUHAUgTkCDq9Rg+4Droae58HOJerY5HHQ/WxY+rfq5ziwQt0jDm0Hw28BrQ42z4eIJBhzH/z8NBz4Td0CO+NxyN4JC2+FvL3q+c+dDSEN1zFL7eSfQjkkKQqjTmamt0TS8208sahyS/ajVQfplxDOlEEJAd+CsTk9FDk8eH0+zAZd69o2LY+zBDiLrKSkxM9mNBpZtmxZjeMPHDhQ8fujjz7Ko48+elLXb6s0i4NRFOVRwAN8XG6qYZig5hVWjQ1sFEWZCcwE6tUEqN7ojGpxpPDA/y6BgrLWp2vfgRk/wBmPqfUqehMoOtDo1OB/Oe1T1XMAWGPUQH+fS2D71/D17aqzAnU7bfjt8MEFlXGabQvV8577khrTaQC92oVy2aAEvlinbssNS45i8oCOaDRtf7/Y7vZSZFf/D0KNOizGlp/L8seeHD/bd1szOb9f+4DOv9Du4tM1h3n5+124vD4GdY7kzasHEhdmCtg1gk7K5QFNS5YEjyb/OqsoynWowf+rRWW3s3SgapFHAnC0FrsfQog5QojBQojBsbEBVi6OSIKCw5XOBcCeD7t/VGtkvn0IFt4Oubth+rLKrayoLnDhf9QK/nJ0BtXh/PzPSucCEN0NXMXVkwAAdn3nb6sHUVYj/zivN38+fDq/PzSBN68ZSEyIscHnaW3kl7p4d8U+xr+4nLEv/MK/f9pNXqmruadVJwM6+QubDkuOwqgPbOZfTrGL55ftwOX1AbDuYD5vr9iH0y23TiWBp0m/2pVlhD0EjBNCVI1sfwN8oijKy0AHoDuwBnVl011RlGTgCGoiwFVNOWcAzOHqyqQqpnDoNAzeO7Oymn/vT3DzCrhzA3jsaq1LTTL9pnC10n/FC2oasyUaxj8MPp9a9S98lWPjTgNt4xxDuMVAuKVRh7ZadmeV8NIPuyoez1mxj0GdIzmnT7sTHlPscGN3eQkz6zEF+IZeX7rGhnDdiM58tOogPgGju0VzycAEtAFece7I9Ne3W3sgj1KXN+DOrCEIIWQ2VhPSVJ2Mg5mm/CkwHohRFCUdmIWaNWYEfij7Y1olhLhFCLFVUZT5wDbUrbPbhVCFuBRFuQP4DjVNea4QYmuw5gyA16PGSY6n80jVEdhy1cdJo2HnMn+pmDVz4IJX/R1SVcwRMOJ2GHCtKnjptsEPs9TEgTMeV1c3Po8at7ngVSnb3wB+2n7Mz7ZscyZn9o5De1xnPyEEh/JsPLVoGzuPFXP2afHcNqFbs6z0oqwG/nZOT24Z3xWfT2Ax6IgMQmykb0f/TMSxPWIJacZtRJPJRG5uLtHR0dLJNAFCCHJzczGZgr8tGrS/KiHElTWY36tl/DPAMzXYlwJL/Y8IMLY8yNgIGz+BDgOg35TqVfPWOLj5N1j7rip2OWwmHFzpf57QjqDU45ugKVz9cUXB0gdUPbJDK2HYLXD9srLnI2Sjsgbg9fq4sH8H1h7IY/2hSiHC0d2j/ZwLQHaJk6lvryKzSK1tmPvHAUqcHmZd0AdrM9xww0x6wkz6ugeeBFFWA7OnpPDU4m0UOzycc1o7po9MwtCMyR8JCQmkp6eTnS3T6JsKk8lEQkLgU7uPR2mqpVJTMnjwYJGWllb/A7weSJsLyx6otLXvD9d86X+D9/nULSxHgSqn/9ElkL9ffS4kHm78Sc0I0+pV+Re9Rc1Gq43CI6r8TM4uVVpmzN9g+G3VYzcNJL/UhUZRt8lOBbKLHXy25jCbjxRydp94jDot98zbyFmnxfHM5H5E17Aq2Zddwukv/VrNZjFoWX7/+NYV9G4gLo+PApsLn1Bfb5g5uE5N0npQFGWdEKKGGozG0fLTa5oCWy788Up1W8ZfagD/eAej0QAaNSPMGgMzvlO1yDxOiOgMS/4G4x5QtccOrYLE4TDxOQjvyAkJ7wjTl6g9Y3RGMISCKbRRL6XY4WbDoQJe/Wk3Oo3C/Wf35LQOYc3yjbypyC1xct3ctWzLUOML3287xv1n92DVw6ej12mIOIGTNRu0aBTwVfmO1THC3OYz7Qw6TZt2oJKWgyyKADWVQFvDTaiGbRU/QuKh25nqSd4aBb3OhW8fgW1fq1L727+Gz65Spf5rPU8cRCWrumSNdC4A+3NKmTZ3DesO5rN6fx5T56wko9Bf3qItUezwVDiXcub+cQChcELnAhBi1HH3mZV9e4w6Dc9f2u+UyLaTSJqCtvu1tiFYYmDCY/DVjZW25HFgrKc0i9cFmz9Xf4/poSopVyVjo5pVFmS8Ph//W3Wwms0nYOGGdO4/p1fQr99c6GpYcVgMWpQay6sqCTXpuX5kEhcP6MixQgedoi1EyO0iiSRgSAcDatyj+9lqEH/b12r8pdMIsEbXfSyoq58e58DWr9SqfUuUmjRQjikcNMG/cWk1GjpF+ecld4qqv8RMa8Rq1HFOn3i+21qZQfbwpF71qlAPM+sJM+trfN8kEsnJIYP8gaI0R+0b4yhSt8m+uVNNNdZo4dK50PPcBqkhN5ZjRQ4u+b8/OVKgrpi6xobw2cxhxIa27T333BIn2zKK2Ha0iAm94mgXZpLBa4mkgQQ6yC8dTCBxFJVV3SsgvGp75LB2arpxA4QqT5bsYgd7s0vRahSSo63EhMqYgkQiqRuZRdaSMYVVT0kOgoR4fYgNNbX5FUsgKbC58PoEkRZDm88gk0iaEulgJKcsDreXnceKeXbJdoodHm4YncSZveNrzTyTSCT1R6Yp14eSY7DnZ9j7i/q7pE2QU+Lksjf/ZPX+PLZlFHH/55tYvT+v7gMlEkm9kCuYuijOhHfPqOxGGdEZZnyv6oRJWjW/78nB7a0eg/xk9SFGdY0mJMiSLRLJqYBcwdTFpnnVWx0XHIStXzfffCQBIyGippRuc7PqckkkbQn5SaqLgsP+tsJD/rYWQE6JU/ZzbwC924cyNKlS7y02xMit47th0DWfbL1E0paQW2R1Mfh6SHtX7dsCar+WgdOad07H4XR72Z5ZxENfbCY938Z5Ke15cGKvFiF5UmBz4fb60Go0La41b3SIkTevGURmkYMSp4fkGCuxLeA9O5WxOT0U2t0cyrPRMdJMhFkvtytbMdLB1EVEZ7VL5a/PAwpM+DuENU/68YkosLu5Ys4qHG61Udn8tHSsBh0PTerVbA20AI4W2Hnwi79YvT+Pfh0jeOny/iRFW1AUBafHS4HNjdcnMOm1zeZ8okOMNSotS5oej9fHn3tzufl/6/D6BIoCz0zux8UDO2DWy1tVa0RukdWFMQQ6j4DLP4TLP4DEoWBsWdIrh/NsFc6lnO+3HavoS98c5JU6uf3j9fy+Jxe3V7D+UD7T/7uGnBInJU4P327J5MyXfmXk8z9z4wdpHCtq24KckrrJK3Xx8Feb8JbJWwsBTy3eSpFdbvm2VqSDqS/lDcJaIPE1SK93iw9p1tWLyyPYcLigmu1grg2720eR3c098zZSXBYrWn8on399uwObS95ITmV8AnJKXNVsDrcPt9d3giMkLR3pYNoAYWY9953Vg/Ii9LhQI09e0CeoWlwlDg+ZhXYO5JSSXezw6/Gt1Sh0jDBXn6dJh1Gn4WBuKccrFK09kFev5ASfT1DkcOPyyJtOW8Ok1zC2R0w1W+/2oZib8YuS5OSQG5ttgHCznutHJTFlcAI2l5cwky6oAf5ih5vP1h7mX8t24PEJOoSb+HTmcDpHV24dRlsNvHZlKtfNXUuJ04NJr+GVqalEWvR0jrb6NfoamhyN1VD7n2NeqYtlWzJYsimDfgnhzBiVLBtntSEiLAZmX9afV37cxe97ckhNjODvk3rLGFkrJmhil4qizAXOB7KEEH3LbFHAPCAJOABcLoTIVxRFAV4FzgVswHQhxPqyY64DHis77T+FEB/Ude1mE7s8RTiSb2f0Cz9XW4WM7xnLa1cMqLZqcpUF8kucHqxGHeFmPSa9llKnh5+2Z/HYws0UOTwM7hzJG1cPrHGrrxy728vL3+/knd/2V9h6tw/loxnDWkS2XG2UOj0UO9y4PAKzQUusFB+tFbvLQ4nTg9mgI6QNd2JtibQmscv3gdeBD6vYHgZ+EkI8ryjKw2WPHwImAd3LfoYBbwLDyhzSLGAwIIB1iqJ8I4TID+K8JXWQVezw2+LakVGMw+2t5mAMOi1xYVrijjveatQxsW87hnWJKssi0xBlrf2mW+xw88nq6vVH2zOKKXV6WrSDKbK7+XzdYZ5ftgO3V9A11spHM4bR4bjtQ0klZoMOcx2rWUnrIGgxGCHECuB4YaeLgPIVyAfA5Cr2D4XKKiBCUZT2wDnAD0KIvDKn8gMwMVhzltSPDhFmjMdVu5/eO47QBtQrGHQa4sNMdIgw1+lcQO1qXVNMSa9t2WHEQrubpxdvr5Ck2ZtdyjNLtlPibL4MP4mkqWjqT2e8ECIDoOzf8i+3HYGqJfPpZbYT2f1QFGWmoihpiqKkZWdnB3zikkoizHo+vnEYXWOt6LUKF6S0574ze2A2BC8YG2U18vgFp1WzXTEkEWsQrxkI0vNtfrbNRwqxu2SSgqTt01LWoTU14RC12P2NQswB5oAagwnc1CTHY9RrGZwUxbyZI/AhsOi1Qa+21moUxnSL4bcHJ7D7WDGxoUY6RloID4C0fonDjdPjI8JiQBvgfjDJMVZ0GgVPlYyG8T1jCTG1lI+eRBI8mnoFc6xs64uyf7PK7OlAYpVxCcDRWuySACOEoMDmqjNVuGpNQkyokbhQU5NJeTg9Pg7m2tifa8Ni1KHXnpwz8PoE+3NKuW/+X0ybu4YPVx4gr9RV53ENIdyiZ+70IXQIN6FRYFLfdtx5eneZeis5JWjqr1HfANcBz5f9+3UV+x2KonyGGuQvFEJkKIryHfCsoijlioRnA4808ZzbPPk2Fyt2ZfPRyoO0Dzfxt7N7khhpRlslvpFf6mLdoXy+2XiUwZ0jOTelfZMG18urvH/Ypn4n+ecSmHPtYM7sHYeahNhwckucTH7jDwrLFA+2Ht2G2yu4YXQSOk1gvnuZ9TpGdYvh6ztGIQSYDFrCpLaW5BQhaA5GUZRPgfFAjKIo6ajZYM8D8xVFmQEcAqaUDV+KmqK8BzVN+XoAIUSeoihPA2vLxj0lhJAdoQKIEIJfdmRx3/y/Kmy/7srmh/vGVaQNO91e/rfqIC/9sAuAb/46ytItGfzf1QPrFaAPBMUOd4VzUecNzy3dTmpiRKPSfovsboocbib0jGPJ5qMVQfh5aw9xyYAOxASw5bRWo8gW1pJTkqA5GCHElSd46owaxgrg9hOcZy4wN4BTk1Qh3+bmgz8PVFerdi8AACAASURBVLMVOTxszyiqcDCFdjdzVuyrNmbVvjxsTi9RTSTLdnxjMIBSlweby0NmoSDUpMNaj5oJr9fHgVwbTy3eyuE8O+f0acc70wYz88N1uLw+4sJMLT4zTSJpLchP0imOXqvUWCkdWTV4roCuhnhHY7emGkO4WU+3uJBqtiuGdOKVH3Yz6l8/s2jT0XppmeWWurj4zT/4dVcO+3JKefPXvazcm8sF/dtj1mt5/PzTApI4IJFIpINp0xTYXBzKs7E9o6hGvTCAUJOeRyb1qhZ0Ht4lioTIykLASIuB+87qUe24iX3jsRqbLlAdG2rkkxuHcefp3TijdxzPXdKPLrFWDDqFudcNplOkhVJH3Q4mvcDup867dEsG149K4se/jSOuiavsix1uDufZ+HnHMQ7lljarArZEEmhkrmQbJb/UxXPLtjM/TW33HBdq5MtbR5IY5d8mOCnGwi/3j2Pj4QJiQ40kRVurrWr0Wg0X9O9ASkIEq/fnMq5HLGaDDqfHh9PjxdhEHSDjwkzcfUZ38m0ubvt4Pef2a09ilIU7PtmA2+dj2vAkZoxJxuFW5xRu0fn1EYmqYXXSMcLMpvRCfD74dXc2T13Yh/ZBrrTPK3VS7HCTdqCA+7/4q0IZ4emL+nDZ4ATZ/0TSJpArmDbKsWJHhXMByCp2Mvv7nTWmIeu1WtqFm5nYtz2DOkfVuGUWYTHQPzGCC/p34IEvNjH2hV8486Vf+W7LsSZt0azTajDqtCRFW0mMsvDS97sodnpwuH3M+W0fP+/I4t55Gxk/+xeWbc70m1uERc8VQyoz360GLXed0Z33ft9PhEXP9owiXvx+J7YgvqbcEif3zfuLg7l2nly8tZrszrNLd8j+J5I2g3QwbZT0fLufbU9WCQ63t9HnLHG6eXbpdjalFwJQ7PRwz7wNFWm+TUWYWc+j5/Vm3QF/Sbrfd+fQp0M4DrePB7/YRLGj+twiLAYemtSLH+4dy+tXDeDDGcOY8+s+LAY1SSA9387m9EJsJ/E+1cXBPBvLd2Vj0mv9nInd7cUj+59I2gjSwbRR+rQPw3BcNtTk1I6En0SPGJvTS9pxN3WfgIwCf2cWbCIsBoZ3jfKzn9YhjEN5qjyLxyfIt/k7v0iLgaQYK0OTIknPt3HpoAT+dnYPHvxyE1Cuqxa8LaqjZe/X5iMFjO1evf/JwE6R6HXyYylpG8i/5DZKpNXAZzOH07djGHGhRu48vRuTB3TgUJ6Nj1cfZP2h/AZXrVuMOoYmV97Ue8aH0q9jOB0im0cZuE/7cC4d2JHyZLZR3aIZ3DmS33arWnQWg5Yoa80ZYUV2NzuPlZAQaSbKauDhLzeTV+riwv7tuWlMl6DGlQZ1jsSo0/Dm8r3cfWYPrh7WiR7xIUwdnMA/zu/NH7tzKGnCbUeJJFgErR9McyL7wVSSV+rE4xWEmXT8vCOL2z7ZUPHcFUMSeWRSL7+03PxSFx6fINKq96tozyxy8K9l27lyaGf255Rg0GkY0SWGuFAjmgDreNWGzyfYcCifjYcLGNApEkVRM82eXbqdpZszSYwy8/KUVFISwjEeJ8uSV+rkzk838MeeXEDVBpt1/mlYTbom0VVzur3sySrhn0u2Y3N5uOfMHkSHGPhy/RG+WpeOze3l94cm0D68GSX9izNh60Kw5ULqVRDaDvSyxUBbJ9D9YKSDOUXILnZw/n9+51iRs5r9z4dPr+hN4nB72ZlZzJOLtpFX6uSa4Z25ZGCC3yogs9DBZW/9WRHnibYaWHzX6IDcEB1uL4V2N063F7NBR0yIocZ6m+xiB5Pf+JMjVbbnkmOsfHrTMBRFQaMoJzx297FiznplRTVbSkI4/71+CNFNpEwAVGi//evbHSzalFEt2P/tPWPo1S6syeZSjeJjMGccFGeoj7V6uPk3iOvdPPORNBmBdjByi6yVklvi5GBuKUfy7eTb6rfVVVxDnUjVgHJeqYspb61k/aF8DuTa+OeS7fywLdOvfuan7ceqJRHklrr436qD+Hwn92XF5vLw844sJsxeztgXlzP5jT/Yn1Na41ivj2rOBWB/TiluryA+zERsqPGEhaA1JTqUODz4Ahhbzy91kV3sxFtLwD7CYiDcoq6Wqr7FIUZdjenUTcbBPyqdC4DXDb++CK6mj7VJWjfSwbRCsosdTP/vWsa9uJxR//qZR7/aTG6Js9ZjQkx6rh7WqZqtT4cwLFXkVdYfysd13A1xflp6RZaY2+vjUK7N78YOkFPiQtTcSaHeFNk93DtvIzaX6gCOFNi5//NNNcaKDDoNgztHVrN1jrZgqodKcbtwMx2Pq3OZMTr5hPGahmB3eVh/KJ8b3l/L1LdX8tGqg+TXEusKMep57PzTmNS3HXqtQs/4UD65aRiR1mYUxPTVkEHn83CCThkSyQmR1VwnQU6Jk5yyG3tMiLFJ1IW9PsHnaelsPlJYYVu6JZMrh3ViTPfYEx6nAW4c04WkaCvLtmTSPzGc60YkVZtzYmQNRZjR1oqAd36pi6lvr+T1qwfyzm/7KvTBFAWmj0xCe5IKxKVOD05PdQe39WhhjWm7UVYD/7lyAI8s2MyqfbmkJEQwe0oKMSF1O4nYsqLT937fz56sEq4YksiwLlEB6QWTW+ri8rdWVvR/eWLRNsItei4ekHDCY+JCTbxwWQoOtxdFUZq/BXTyGLBEq/EXAEUDY/8GBv+/D4mkNqSDaSTZxU6um7uGbRlFgLoa+OD6ocQEWWrE5fHxV3qBn33LkcITOphih5ulmzN4evE2BnaK5Nx+7ZjYt52fEnJilJmzT4vn+23HAIgNMXLvmd0rOlVmlzjJKHLw0cqDfHDDUD748yAen4/bx3ejUw0KAQ0l1KQj1KijuEoG1ahu0SdclbSPMPPqFQNwur1oNApFdjev/7yHTtEWRnWNqfX/ol24iQfP6YnT6yOkHiKZ9WXN/rxqzcUA5q9N5/Re8bWmiIea9A1qOR1UrHFwy2+Q9j7Y8mDYTRCeWOdhEsnxSAfTSL7bmlnhXAC2Hi3ih+3HuHJop1qOOnnMBi0X9u/Ad1uPVbOf3iv+hMcU2Nw89OVmAFbszmHF7hy2ZxTz6Hm9q928o6xGnr80hQcnuih2uOkYaSa2yrfpSIsBRYGFG4+QdjCvTKrFTLc4a72UjOsi0qrnwxlDufuzjRzKszGiSzTPXNyPsFpuzOFmPZj1rNmfyxVzVlF+b+/dPpSPZgyrdTWg12kCXnNSkxRPcowFY2uqbdFoIKwjnP4o+Hzq4wZSYHPhdPvQaNS/q0B3CpW0DqSDaSQ7Mov8bRnFtR5jd3kpKqssDzPpG93DfmTXGP52Vg/e+2M/Zr2Whyb2on34ifuN7Mkq8bOt2pdLidPjtzqIshpOGIsINel4aGIvXvh2B+n5dr5Yl868mcMJMwcmIK3XaklNjODLW0fiEwKDTlNd1fkE5NtcvPDtTqouHLZnFHMk396k201ur4/ESDMTesbyy061Ficu1Mjtp3evV2yoRdII55JZ5ODeeRtZuTeXdmEmXr68PwM7Rzb/e+AqBUchuB1gtKortSZUBD8VkQ6mkVw2KJH/rTpUzXbpoI4nHJ9X6uK/f+znnd/Uvio3jenC9aMaF1iOtBq4eVxXpg5JRFFUAUdtLT1Mjpe5BxjeJbrBW0OhZYkCF6V2oMThIdysr1G37GRQFKVBDcQ8Xh8uj88vOQGo0RYMckqcrNmfx7ajhYzuHsvtE7pxx+nd0SiqkGZjGqI1C7ZcNZ3NGlP32BNQ4nDz1KKtrNyrxm8yixxc//5aVjw4oXkdjLMEtn4FS+8HjxPCE2DaNxDdtfnmdArQitbtLYsuMVZev2oA3eNC6BEfwv9dPZDO0SfuvrXlSCH/+XkPDrcPh9vHf37ew9ajhSccXxcGnYa4MBOxoaZanQuoAo8vXJZS4VBGdInmzjO6NeoDH2rS0z7cTPf4UOLCTM269ZFd7OS1n3fz9op93DimS7XnOkaYSarl/yNQ5JY4uf3jddz28Xpe/2UvV8xZxf6cUt74ZTdp+/OIstZci9OicBbDvuXw8RT43yWwfRHY/eN89cHm8lY4l4rTe3zkFNee5Rh0nEWw+B7VuQAUpsOiu8Hur2cnCRxyBdNIwsx6zuvXnuFdogG12LC2G8l3WzL9bN9uzqw18ytQhJr0XJTagXE9YvEJgUmnJTIAKbnNSV6pizs+Wc/q/WoH7Ycm9uS/1w9hwfojdIm1cuXQTk2yciiwuVm9X71JJUSaCTXpmLNiHzPHduHTNYe4bEhivbb5mpXCI/DR5MpinHnXwIzvIXFYg09l1GtJSQjn1105FTadpuamdk2KLdc//frYlkqHIwkK9XIwiqJ8JIS4ti5bfVEU5V7gRtTE+s3A9UB74DMgClgPXCuEcCmKYgQ+BAYBucBUIcSBxlw30DQkpXRktxg+XnPIz9ZUGHVa4sPqt2LJK3WRU+Ikt8RJl9gQoq0GdC2sjbDd5a1wLgD/+nYn3eJCmDdzOJEWQ5PJ1niFINpqKEsz9pFX6qJ/Yjgen49ZF/ShxOHB7fER1QLfwwq2fFG90hMg7b/QcRBoGvYdNNys55+T+3Hd3DXsyynFYtDy3CX9CAuieGi9sMaCwarGYcrpegYY/LePJYGjvv/rfao+UBRFi3rDbzCKonQE7gJOE0LYFUWZD1wBnAu8IoT4TFGUt4AZwJtl/+YLIbopinIF8C9gamOu3ZwM7xLFBSkdWLTpKAAXpHRgeBd/NeDmJq/UxeNfb2HxJrWSO9SoY8HtI+kWFxrwa7m9XvJL3QjArNfWmi12PFqN+s24akpwVrEDrxBNqokWZTXw6hWpvPzDLtYfUreVLAYtC24bycNfbmLD4UKirQbevGYQKR3DMBnUj1x+qQufEE3qDE9IdDd/W0x3UBoXM0mMsjD/5hHY3V4MOg3hZn3zB/jNkXDtQlhwM+Tvh+7nwDnPgFE6mGBSq4NRFOUR4O+AWVGUIqD8k+AC5pzkdc2KorgBC5ABnA5cVfb8B8ATqA7morLfAb4AXlcURRGtTEQtOsTI05P78Mi5vQD1JhTRArdO8kqcDOgUwfWjkgFYeyCPF77byewp/QkLYJ1GicPDr7uy+MfXWymwuTinbzuevqhvvVeEIUYdN41J5s1f91XYHpnYi4gGZrQV2d043F50Gg1R9SjSPJ6YECN6nabCuYAah3j5h12M6BrDhsOF5Ja6+GLdYTpEdMdb7EQIeOOXPWw5WsjMsV2Z0DO2ef8Wup4O8X3VLSOAyGRIvfqkMqyCXQ/WYHRGSBgCN3ynrtb0JjCFN/es2jy1OhghxHPAc4qiPCeEeCQQFxRCHFEUZTZwCLAD3wPrgAIhRHmFXTpQnpLVEThcdqxHUZRCIBrIqXpeRVFmAjMBOnUKbi1KY4mwGIho4cXQBp2GNfvzeHrxdhRFXWldO7wzLk9gM7LybS7u+HRDxc7Mss2ZJEVZuPesnhjqUTMSYtIzc1xXzk/pwKYjhQxJiiQ21FSvY8s5VuTg0QWb+W13Dj3iQ/nn5L7EhxqJtBr8FJhro7CGnjN5pS4GJKoO+aLUDgzrEs3Ef/9GidNDxwgzL0/tz4YFBdw7byMf3DCUcT2CH4s7ISFx6rf7onRVEiais2prayhK23xdLZj6fhr/rijKJYqivKwoykuKokxu7AUVRYlEXZUkAx0AKzCphqHlK5Savkb5rV6EEHOEEIOFEINjY5vxw9pCyC2TsWmoAGXawfyKIk4h4Ju/jlJgc2PUBnYbZ3tGkd+2/6+7cvw6UNZGpMVAn47hXDm0E93iQhvUTK3I7ubvX23mx+1ZOD0+Nh8p5Ib317I3p5RD+bZ6nwegf2KEX8r3ZYMS+GVnFgDXDO/Mows2V/R4OVJg59kl27lhVBIAn6w+iD2IHTTrRUgsdBigfsuXN2FJgKivg3kDuAU1IL8FuEVRlDcaec0zgf1CiGwhhBv4ChgJRCiKUv4pTQCOlv2eDiQClD0fDuQhqZESp5vlO7OYNncNV85Zxdd/HaWwnmrLQgj+PC7FFCDtYB4LNhyhKICtkbvE+qcQ908Ib7KKd4fHy/Jd2dVsuaUudFqF//y0B7vTQ1axg52ZasFmbW2ho60GFt85mgv7q3G1N68eyKhuMdVUrh3u6ivAzUcKSYpR34PkGCv65o7DSCRBoL5B/nFA3/K4h6IoH6A6m8ZwCBiuKIoFdYvsDCAN+AW4DDWT7Drg67Lx35Q9Xln2/M+tLf7SlBwtUJWWy7l33kY+u2k4w7tG13msoihM6tuOL9alV7MP6RzFKz/u4qw+7RoUiK8NIeDO07vx9q/7cHl99OsYzpXDOuFwe4Pe8AtAqyj0iA9hexX1BYNWg06jwazXcKzYyZS3V5JdVr8xc2wXbhvftcZYiU6rISnGyvOX9MPtFYRb9Hh9gveuG0xeqZsws54ws44ie6XG2rAu0Ww7WkSHcBPTRya33AwzieQkqO9f9U6gamAjEdjUmAsKIVajBuvXozopDWrCwEPAfYqi7EGNsbxXdsh7QHSZ/T7g4cZc91RhyaYMP9unaw/hrmdV+4BOkdw8rgtGnQazXsut47qi0yocyrOh1Lhb2TiMOg2lTg8f3zSMz28ZwfRRScxPO4ypkfI5DSU6xMhLU1KJKOvHYtBq+Pt5vflyXTo3j+vKP5dsq3AuAHNW7CO/hlhLVSxGXUV/F61GITHKSpdYK+FmHR/dMKxCEHRQ50iev6Qfw5Kj+PqO0bSrReZHImnN1JVFtgg13hEObFcUZU3Z42HAn429qBBiFjDrOPM+YGgNYx3AlMZe61SjJlmYnvGh6Oq5BRNlNXDbuK5cNjABo07DoTwbh/NsLLlrDGHmwNUyqM22DEx9eyU+Afee2Z0bR3dhzb48usaFEGkx+K2W8kpdeHw+ws16bC4vbo8Pj09gc3oIM+sJN+sbFJzvER/Cd/eMpcjuRgi1H841wztjMWjZm+3f6Cyz0E5yTMPUAcoVkiMtBr68dQReAUatptUXukok9aGuO8bsJpmFJGCM6BpNamI4Gw+rMjTJMVYuG5TQILmScIuBUpeXC1//nZwSNY7QPtzEwttHYTEExsmEmfXcMCqJywcl4BOCtQfymPDS8orA/5MX9uHywYmYDVqcbi87jxXz+NdbySi0c8nABC7q34HtmcU8/OUmnB4fZr2WudMHMzQpqk7pnHJ0Wg3xYSbiw0x4fT6SY63otRrcHh+T+rbj/5bvrRhr1GlIjm18zYSqsSZXKk2Cx6XK3xhDQScdeXNSV5ryr+W/K4rSGeguhPhRURRzXcdKmoeYECPvXTeE7BInnirtgxvKvLWHK5wLQEahg282HmHKoEQiAvTtu7wHSlaRg1nfbKuWVfbcsu1M7NsOs0FLvs3NlLdWVjQje3P5Xi5Iac8T32ytsNndXu7+bCOL7xxNXFjDb+RajYbytY9ep2HG6GTsLi8LNx6hQ4SZZy7uR2SA4k+tEq9HlVtxlYDeohYu6lugwyzJglVvwv7lkDweht8qs+KakfpKxdyEWmMSBXRFzfJ6CzVAL2lhRIcYT0r7yecTFZ06q5JV7OKVH3dx5xndAyqD7xP4ZWk53L6KTpa7s4r9Ol063D6/Y7KKnXgbmJZ9IqJDjDw4qRe3ju+KtiVoaTU32TtUvbLSbFVy5ZJ31QLNluRkbHmw4BbY+5P6+Mh6yPgLLn0PLJG1HysJCvUN8t8OjAKKAIQQuwH5taCNotEoTBuRRNWwjU6jcE6feBZsOFIt+B0IzAYt43tWr10a2CmiQl6kXQ0rErvbS9fjtqz6J4Rj1AcuG8us1xIXZpLOpSQbvpyhOhdQ9by+uhEcAVAi9gWwgNdtr3Qu5ez9CdwNq2uSBI76bnM5y4QngYp6FJkq3MrJKXGyJ6uE7GInQ5KiiA7Ro9eqN/XESDMLbhvFG7/sQaNRuHZ4Zz5Zc4gihwd9gFNqw816XrysP2/9upffd+cwJCmSu87oXnFjjwk1ctXQTnxSJhYaE2Ig0qpn9pQU/vXtDjYeLmBochTPXZLi1wa6PhTYXBzOt/P77mwGdY6iW5y1UedpswivuoKpiqsUXPbGnc9tB1s+uIrV82Rshh5nQWj7k2sAptGo23dVHYre0qimaZLAoNSnpERRlBeAAmAacCdwG7BNCPFocKfXOAYPHizS0tKaexotmpwSJzd9mMaGKgKNi+4YTdfjstC2HS1k4cajLN2cQXq+nWHJUfzf1QOD8q3e6fZS4vRgMeowH5cNVmBzUezwUORwExtiRKtVcLi8aBQFRVEw6zWEH1ej4vX6yC1Thg43Gwg16fwy05weL/9bdZCnF2+vsF0zvBMPTuwVUO21Vo0tH+ZdDQf/qLSFxMHNv0PoiVt114jLDnt/hK9mqo4gJB4ufRdWvAiXvFPmYBRV/bihzsZth/UfwbIHKm2TXoCB00Bvbti5TlEURVknhBgcsPPV08FoUFWNz0aVbvkOeLelFjxKB1M3a/bncfnbK6vZJvaJZ/blqdVkT4odbo4VOfl+Wybd40IZ0CmiSdsQnwy7jxUz5e2VFJTVr9x1RjdmjO5STVImq8jB6S/9WiHjAqBR4I+HT6d9ePWbUk6JGuNpEf1NmprCdFWJ+MDvEHea6hRie4GmgXVLRRnwnwGqMyinXT8YdjNojbBpnnqtM5+EpFFqJlhDsBeoW3mZm6BditoW2SxFLetLoB1MvbbIhBA+RVEWAguFENl1HiBp8eTXIB+TZ3NXBNbLKc/06hZXg6R7Cybf5uKxhVsqnAvAaz/t4fLBiX6aZVWFPCMsemJDjNVCA0II9mSXcMfHG9h5rJg+HcJ446qBFVIv2PLUrR5Fo94QTWFBfW3NQngCXP4ReF2qjH9II/X+3LbqzgVUFeeIzlBwEAoPQ/ZO+HQq3L4GYns27PzmCPUnpnvj5icJKLVuTioqTyiKkgPsAHYqipKtKMrjTTM9SbBITYwg9DiBxhtGJbXIFgKNwe31sT/Hv1gyr7S6Y7UadVwxJBGDVsOzF/fjtSsGcOOYZHxCLeAEyClxcf1/17LzmCors/VoETM/SlMz7Uqy4Ysb4N991Z+fn4ZSfz23JsPtAEdRcM5tiYLQdo13LqA2+LIcJ1uUPA5y90BUV9W5lLNjSeOvI2kR1BX9ugc1e2yIECJaCBGFWsU/qqwrpaSVEm01sOjO0VyU2oERXaOZc+2givbPbYFQk55z+7WvbjPq/DLSrEYd95zVg/k3D+evwwVMm7uGh77czPjZy9lwuAAhBE6Pl/T86t+6dx0rQSN86pbOvl9Uo/DBmjmQsyuor61GfD4oOARLH4DPp6s3Z1sL7DdvicF37UJ1ew0geSy+SS8iksfD4nuqj43r3eTTkwSWurbIpgFnCSEqeq8IIfYpinINah+XV4I5OUnwqCrQ6PKKBkndtwbMei13nN4Nn0+wbEsGPduF8sA5vfjrcAF9E8KJDTFWCExGWQ3YXV7mpR2uON7rEzz+9RbmzRyBQafhktR2nNfNiMsreG99MZlFDoy44cBv/hdPXwudRzTVS1UpzYI549TtOlDTcy99D/peenKZWYFGq+WXgnh0I/9L50gTR4t9zP+pmFkTYoisGtJNGgsdjwsF+Hxgy1EduSmiZdXgSGqkLgejr+pcyhFCZCuK0rbuSKcoZoOOtppfExNi5LGzO/H4uAg8hUfxmIrJyvNw84d7ePOaQXSMrHzlTo9/P5acEhc2t5eOJgcvdN+GbuWroDMzcsxj2OMGYraEQK/zYde31Q/sMi7YL82frO2VzqWcVW9AlwlgbVkr06MFDv7x9f5qtugQA49etwSNPQc0BjWOYo2pHOAsUbPYlj0E9nwYNB1G3tXiXpukOnVtkdXWSKR+TUYkkubCbcewZxm6/6Rgev8sQt4ayAjdTp6+qDfrDubhrRLJDzXpSYyq7movSu3Aj9sy4ehGdIvugJzdkLmJ8C+nEq/ko9FqoOckGHIjaPVgDIOJz6sB66ampva/pkjQtjxFpzNPi8NaRTVbo8BlgxLRhMapGWox3ao7F1Azwz6dCvn7wVEAf/wbti4IbKGmJODU9dfXX1GUmiKGCiDXp5JaySt14nD70CgKYSYdFmPgb3Z2l4d8m5sdmUUkRlqIDTVWJio4CmDxveArW514XYQsuwvl/EUkRsVhd3kJManfsWJDjXx643Be/nEXe7NKGN8zjoGdIli9OwPt0Q+qX1QIlB2LIfY+MFhg6M2QcgV4nWqWlGiGm15EIiQMhfQ16mOdEc56skX2nY8JMfLtPWN557d9lDg93DSmS0UrgxNyaBV+LVC3fgn9LlV10SQtkrrELpumOYekzZFd7ODOTzewal8eRp2Ge87szpVDOwU8S23zkUKufnc1bq9687lhVBJ3n9lDjSl5XGr6cFVKjhFu1PL+X0cZnhzNiG7RFQWVZoOWpGgLvdqFsf5QPq//soeLU9vji+2NhoXVzxPTQ/23NAfeHKH2si9n8lvQ/4qmjX1YY+HKT+DYVig6osYwTibbK4jotRoSoyw8fv5p+AQY6tPFtKZ05Xb91Up9SYtFaihIAo7b4+Pd3/ezap8aE3B6fPzr250B1zDLKXHy6IItFc4FYO4fBygtL5rUm/0zkZLGsCHDQbTVyLy0w5Q6Kh1DdIiRM3rH89ave/l2SyZGnYbzUjqgDJoOUV0qz5E4TP0BOPhndecCsPFj7MXN0NXbEgOdR0Pq1eqKRteyNxl0Wk39nAtAZGcYMK3ycUx3GHW3ulKTtFha3gatpNVT4vKwdr//DXbb0SK6xzewMvs4HG4vOo2CTqvB5xNk1eC07K6yLbGQOLjqc8SyB1GOrMPTaTTHhj/G3G+O8tSFfXj1p104qxSWOt1eukRb+f6esZQ4PZgNWsLNehS9Fm74DoozQGtQ4wPWstVBZLLf9V0RXfn8r2zOGxBSr4r/QrubI/k2ftmZEjbZOQAAIABJREFUTf+ECHq3D224UkBxpiqTkrsbBl8Psb3VQHlbwRINZz8N4x9UV6bGUCnD3wqQDkYScEKMOsb2iGV9mc5ZOSmJjY8HFNrdbD1SyIerDpIUbWH6yGQiLHouGdiR//5xoGJcxwhz9c6bEYkoF7+Ny1HCgWKF7bk+HjvvNB76cjMJkRasBh0uj5cj+Q7+b/keHG4vt47vRlK0pXrMKCSu5htadFdEj0kou5apj8M6kD/oLmbP3cOgru3rdBRur49vt2Tw0JebK2wXpXbgyQv71H87seQYzD0H8sveh03z1Kr73he0rBTlk6W8Sl/SapAORhJw9FoN1wzvzM7MYr7dmkmoUcffz+1NdCMVioUQ/L47m9s/2VBhW7jhKIvuHM0dE7oRbTWwZHMGPeJDeeCcnv6dI01hGExhxOldrE4/ypwV+0hJDOe+M3sQG2okPd/GxFdXVPScWbI5g6V3jaFX+3pIvlhjcJ//H0ryj+F12lHC21NU4uClczvWqzdNgc3FC9/urGb7euNRHprYi4j6hhfyD1U6l3J+mw2dR/pnY0kkTUizOBhFUSKAd4G+qLL/NwA7gXlAEnAAuFwIka+oPQJeBc4FbMB0IcT6Zph2m8Pu8lLscIOiSuYbdYHL6YgJMfL8pSnMuqAPiqL2pK/3fvtx5JW6eOvXfdVsmUUO9ueUMDQ5mpvHdeXKoZ0w6bVYa8lUi7AauGJoJ87t1x6LQYu5rP3zkk0Z1Rqa+QTM/WM/z1zcr16tCXT/3955x7dVnf//fSRr2PJOHDt7kUEmgUACIZDBStibQpmhoYVQKG2Blm/5dbdAW8ooq8ywwygJYYYAgUDIXmSRnTjLjp14L8nn98dzFUm2bMu2ZDnJeb9eSnTPvZKOru373POMz5Pcka82VzMsw0P3bx+g44aZ9EvvQe15j4B3SKNxAo30tqlLsxqnhUtFtjuQZM84U1UKVcXgrRSZGOPWOqqIV5D/EeBjrfVAYDiwDrgXmKu17gfMtbYBJgH9rMdU4Mm2n+6RR2FZNY/O3chpD33BxH/M4+UF2zkYRgCzNaQlOshJk573LTUuAHabItFZ3/j5G5I57DY6JLsaNS5+/Mf6jQtQT8IfINXtCGm41hg2m+KsAWn0XPsUjpXTobII9q7G9tK5UNF4sD/V7eDGMb1Cxk7omYHH1Qxjn9pNFIn9KAUT7o9/EWJlMSybDo8Mg0dHwHNniZyN4aihzQ2MUioVOA14DkBrXa21PghcCPgLDl4CLrKeXwhM18J3QLpSqjOGVrFwSwFPzttMZU0tJVVe/vzBurDikO2B9CQn95wzEHvQFX9I11S6pEdHg2DiwE4hGmWp7gRuHNMbezMaVSX5yrBvqCPOWFMh7qtGcDvsTDm1D4/9aARnD87mt5MH8vS1JzSv4VlyFvz4Xemncvq9cOtC6HpC5K+PFZUH4ZPfgM9StD6wFT66N3ZinIZ2RzxcZH2AfOAFpdRwYClwB5Cttd4DoLXeo5Tyr6W7AjuDXp9rje0JflOl1FRkhUOPHj1i+gUOd2p8tXy4ek+98bnr8hjRo30WrR2bk8LnvzydT9fuo2dmEsf3zIhaX5pOqW5mTRvDgs0FVHh9nNYvC7fDhtYaFWmQPMEltRpFO0OGdUpOk46qTI+T84d34cxB2TjtNmyRLp2CSe4Ew64IHasshupSKVB0ehoPkJftF3eWzW4pHmfgq9VU1vhIdNhbNqfi3fXH9q6SYtQjsaWBoR7xcJElAMcDT2qtRwBlBNxh4Qj3m13PQa21fkZrPVJrPTIrq30WmLUXHHYbo8IoJ5/Yq/nG5WB5NcUVNU0f2EqSXAn07ODhJ2P7cNbgnOYbF62hNA9K9tUvvkSMzIRjO9E51c31zy/iiqe/4+M1eymujOy7FZOE75wHpEMjgFKUj7mbIh15IaC7pRfycJQVwNw/Wm0EBovKclk9WUGhNA9e/xE8OlyOn30nNcV5vPDNVm57bRmvLNxOQWkLapjSe0hadzD9zhJJHcNRQTwMTC6Qq7VeaG2/jRicfX7Xl/V/XtDx3YNe3w0Ic2tkaA6ThuRwev+AIb54RFeGdI08jbi4ooavfshn6stLufXVZazcefBQ/5R2R3U5bPlSYgCPDodP7hNtqzqs31vC9S8sZmNeKZvySvnZK8vYWVhe//3qsOdgBVNfXsplb+5hy6UfUX3LdxROXc6rnMut72yOemwrIvasgMX/FZkcrWH1jNCWx35qa2HVjIDEDMDa96jYsYw3Fu/kyw353D9zDX/5YJ0khDSHxAy49l3I6CUro2MvhHH3iLyO4aigzV1kWuu9SqmdSqkBWusNwERgrfW4Hvi79f9M6yWzgGlKqTeQXjRFfleaoeV0SHbx7yuPo7zai1IKj9Ner6d9Y2zJL+O65wMXpQVbCph71+n0ioHeWCSUV3kprvRSVu0lxZVAhscZyACrKIRXLw1oki19QXrJj/2VlW0FtbWaGUt21nvfWSt2M7hLw4a3qLyGu99ZdUi1YMLTxXTwOHns6hH8Ze5aOqe5qfbFQZtsy5eB554suOBRsDngh0+gs9VK2GaH2upQ42Jh27OMbhlnsCmvFICZKyV1OsXdDBF1R6IoC0yZI0bOkRgd15jWoqhsd4IrufXvFy3K8qVls7JJO4F4J1m0A+JVB3M78KpSyglsAW5EVlMzlFJTgB3A5daxHyIpypuQNOUb2366RyYZHicZnuZrg9X4anlpwbaQMV+tZvaq3UybEHmr2qoaH6VVXlLcjlZlmZVXe/lk7V7ueXs11b5a0hIdvHrzqMCKbO/3AePiZ91sGHnzIb0um00xrGsaby3JDTlsYE7jygPVPh/fbAp1PRWUVWO3YjeTh+Qc0jprU/qdCd8+Ks8vegLmPQC5S2TbnQ5Tv4TM3iInM+QyWDsz5OUVvc5kzaKiQ9tOuy28s7o0X8Q9nZ7wF3ulopuaXF4Imz6T1VlyZ5h4v6yQoqEa7a2Wvjob58jqq+fJAZdnU5TmwSuXSowJoNdYuOyFdqsH11bEJU1Za73CipcM01pfpLU+oLUu0FpP1Fr3s/4vtI7VWuvbtNZ9tdZDtdZL4jFnQwC7UnTLqJ/B1ZysrrySSh78ZAPXPb+If366gf2t0CkrqfBy7zurD60Uiipq+MWbK6SlMYTqiPnJGSoXRYDyAijYzNW9Svj8lmMZYMnZHNc9jbH9G79A2JRiUJfQu3K3QzS2bhzTi1vHH3MonbpNyR4MY++SxIOqkoBxAcnu+upByXID6HWqZJ+5UiE5G33xU+TqjiHacXee0S+0KV1NFexcBC+dJ27HD38lF9lYorWswN79iXz2upnw3/Fh3Z0tomgHPH6idNZ863p4YZKoJETC6rcCxgWkEV04l+RRhqnkNzQbm01xzaiezFiyk33FchHqm5XM2H6R3a0VllUx7bXlLLL0ytbsLmZjXgkPXzGCtKTm3+2X13hDCiUBNuWXUuuXd/dkwZg74dtH5CKV2Qcm/J/EAsr2ywVl3fvYgT5p3Zl9w0fsqEknPcnZpNRLh2QXD19xHD9+biH7iqtIctr55xXD6ZqeyD3nDIyPcQHR7hr7axh9m9yR16V4D/iqxW2VlAmn/kKaeNXWoErzGZbiYt4vRvPZxmJG986ka0Zi6HepKISXzpcCSoCVr4s+2Jl/lPcMR2merHbsTvnM5lJeKCuXYKqK5cKe2srKhZoKmPegZLj5KdgshnnguY2/1ueVmFdd9q6CwRfVHz+KMAbG0CJy0tzMvv1U1u0pwZVgo29WMh1TIsvsqqypPWRc/HyxIZ+KGi9pNN/AeFwJZKW4Qu64T+ufhcvvdkvKkLv5k6bKBTFYKLFwC6x7P/BmRTtxfPtv+p71F3BE9n36ZiUz+/ZTKa/24XaIQGbUDUt1OSQ4wdaMP1lnkjx6nyauML8xADjpJ6G9YrQPNn4qxlbXYk9w0fOad5hyyhioWw9UWSyrIk9WaFr2ho8krlXXwPi8kL8O3pkC+Rug5xi45BlI6xb5dwExTOFcVklRkMOp9YmxqktVSQTzSoDhV0uyRDCDjm7jAkau39AKslLcnNY/i1F9OkRsXEAq892O0F+9ZGcCthYKM3bwuHjt5lEM75aGK8HGGcd24oFLh5GWGBRfcqdBWlfo0Dc0JlCwuf4b5m8IvRg3gc2myEpx07ODh+xUd3SNS3khrHkP3rkJ5j0kadbNxdNRYi79z4HuJ8HlL4pOWTCVxfDRrwPN0rxV8N7PoDwovlRZBFvmifvo8z/BxU+KoKafTseCI0yLgPICePliOa8grqP/3VK/xXNTuFPgjN8HXJsgfW8yolD35koW+f+QsRQxzpHQ+Tg495+Q1l1WyJc+Jy0GjnLMCsbQ5qS6HdxzzkD+8P7aQ2O/O39Qi5uR2W2KftkpPH/Difi0xp1gDyv/Epaep1jZVEFJAMN/1D46QXqrYelLMPf3sr3hI4k7XPd+84LHCS65+F/yLNTWhHdPeavkEUxxbmh3zn1rYfoFge2Nn8INs8UFl5QJ5/wNvn8H9m+GE64Xg+70SN1R3TjJtvniomsumX1g2hLYtUwyATN6BVontJZOgyXj7dvHIDETxv5Csu0awlcjLtY9K+S4wZdYBlfJqqoZShBHKsbAGNqcRKedS47vxun9s/hhXynHdk4hw9NyMUw/HZJdEmOpKQefDewRrCQ8HeG2xXKXrWxyweh+UtvL3Nf6xNAFU3EAFtaR3stbJyuJlmQnuRvJiHMmycW7MEhU9JgzA03Lasrhu/+EvsZbCbtXwLSlkmE26+ewea7sW/Qk3Pw5dDlOXGZ+Q+On0yBQLVjp2R2Q2kUe0cadKj/7S54GlSAuycY4sBWeGS9qCQC9T4fLnjcK1kEYE2toNTW+WnYfrGD6gm28szSXvJKm3UtpiQ76ZCVzzpAcenbwRCeVt6wAVrwGb90A3zwcWVZT8R7JhHruTHhxsriE7G3YJbGsANbMFJfR8ldCq+2VCnUH+YlGSm5dkjvBte9JpX1ytrR8vuCxgLyMSgh/N5+cDendZEXhNy4gBvOrh8SoJGaIy8j/XZKz4dJn228KryOpaeNSVQJzfh8wLgBb5xkxzzqYFYyh1ewpquScf39FudVJskuam/emjaFT3b4ssaS6HOY/DAsek+2Nn8IPH8OP3mj4jrK8EGZNC2hmeavg/Tug7wRwhbmwR33OZdK35bsnZHv1W3DsBYELe1JHycp688eB1ww4V2IDsSCjp7jRvBXyGcHGLcEJp94pLrBKq5Fc1gDoMbrp93W4oe94Wel4K8DhOfzv8n3VULq3/nhZjFO1DzOMgYkjWmsKSqup9PpwJtjITHKSEEH/kfZEjbeWp+ZtPmRcAHYXVTJ/434uOb6ZWUKtoaoEljwbOpa7WC7iDV3MfNWwb03oWK1XLqCxcMHUpaoEFteZ87pZEstITBcffu/TxYW38VPIHgI5QyQFuVWfWyour8SMQ0oGh0hMAxqIP6V2hdu+gx2LJCieMzSQMNH9JEjpLG2lQdx9p98dMFIJ7tanErcnEjPhxJth19LAmCsFcobHb07tEGNg4sjW/WXc9OJithWUk5Xs4olrjue4Hmk4IokdtBNqtaYsjAZZuLGY40gKFA/6qRvXCDneA30nwtr/BcZcKXLxaBO0zC9YZEDZCCmZd6fKI6t/FD5Oiwtnzv+D/esljfbEmyNfTdjsYkQGX1h/X3I2TP1CUnVL8mDkDW1jpOOFUpKVd9FTcmOTnCMZbtFKODhCMAYmThSUSrHhtgIp7MovreLm6UuY84vT6JR6+BgYl8PO1NP6MGvlbvx1jUlOOxOPjUBiw1cjcZKNc6RWpcfJLZcVScoUd9LM2wJjI64T6fmGcKfApL+L22bjp5LCfNFTbWdg3OlSAPrl3wJjx/04dvpaZXlSnV68S7b9CQOjfioB+6QOjaz2vBKf8tVIVlrdn5NSYnzqpvoeySRlSqyq/1kSt2tPumjtBGNg4oS3VrN2T2hhV1FFTdj2ue2dXh08fHD7WJ7+ajPJrgRuOb0vWZHUxRzcDk+NDVRPd+gLN37cMiNjd8DA86TR1uYvoMsI6Ng/fA+Umgqp+3C4ISVHiv5qKuUiqRKgcLOlrZUibqRY4UiU4s/ep4mB63Wq1FM0M0W6oLSKsiovdpsNj8vecLp3xcGAcfGz6g353DeuFgN/xcv1g+81VbBzIbxzoyQhdOwPV88QLbPGqDgoca2GdMqOBJRqvcvyCMYYmDiRYFMM6ZrK97sCRiYjyRG2NXB7x+NKYFCXVB68dBg2pXBEkm5cUyGFg/WkORY3Lc3REInp8uh0bMPHlOZLYH3DR3LcpAcgvadc1A/ugOfPDgT9R04RSZmWyJpESlKm1OLULXyMkPySSm56cQmrd4kw5XlDO/OHCweHl7hxhJHJT+kcKHjcsUCKIOvKm1QegDevDlS17/8B/jcVrnqjYcXgA9tg9l0il9J3gqwuU3JCj/HVyGcrRAetIYkZw2HL4RVRPoLokOzisR8dT79OcmfXOc3N8zecSEYLiw3bAy6HPTLjAlLAV1VUf7wyzFi0qCqFOb+DhU/J6umHj+GFyeI6qiqFz/4Q2oVxyXPRF3As2y/V+FFoG+yr1cxYknvIuADMXr2HdXsakDdxpcDoWwPbdqcY0KUvBMby1tV/XXWpGJecYZKAcMFj4MmWhIhwlObB9IskbbksH1a9KTUyFQcDx1QclJTyJ0+GR0fIzUZ5QTO+veFwwKxg4kjvjh5enzqaKm8tDruig8cV0ne+3eDzygXG6Wm6PiBSnB7x12/4KDDmSoE+46Lz/uGoLoO174WOFe8S44IN9m+o/5qD26HTwNZ/dq0PCjaK/EreOkkuOPcfsoJoIdXeWlbuPFhv/PvdRZzaL0wsJTEdTrsbRt4IB7ZDh2NE8iU4E2pQmAC+MxmOvwEGToKv/yVZdiN+XP+4QxMrkyLEYDZ9Giq/c3AHvP/zwPb8f0qG3JBLGn5fw2GHWcHEmY7JLrqmJ9Ipxd0+jUtZPnz9T3j9Cvjyr5HLl0dCp8Ew5VOR1zj+erhlfuPSHK1F2aSNb90xR6LEWgZfHLrP7pDU4GhQtl/Uh3ctE/fg+tnw/p1Q0fIVW6LTzgXH1c/UGj+gkXOYmC6CmcunS6yq20lSwZ81EK56LbwAZWImjLkd3rhGYjH5G+DT38H2+eE/I8EtiQDBpPUIVUcIp/C85t36WYCGwxqzgjE0TEURzP6l6F+B9ODIXQKXvxSdbn3uVOg+Ci4eKimwdS9K0SY5C85/TPS0/HfT4++TO3R7ghi5yiJY8aqsLCb/s0UB3OKKGnYUlvPWklz6ZSdz9uBssqpL6rvbNvrv6q2gfsVBcUf5qmVOESQ7nNK3I3ee0Y/nv9lKkiOBeycNpHN6IwWufvfVwe2wdpbEu87+q7i/UruEl8hJcIphqesSW/oSHHNG/aQEdypMeuiQMjMJbrjoSUgKSh7oekL9z+k+WmJyZfvDZ6oZDjuMgTE0TE0ZrJ8VOrbta0nrjSZN9WgvzZMAdPFuGDBJ/P/OFgaEOw+Hn6+QIHRqZ0kV9rfx9XSEcb+VOIXN3uKahoVbC/nJ9ECDr5cXbOfDm47BbneGCjxmDbDqXpD4w9w/w9LnZbvTIPjxu7LaqCmTNNjEjHpqxZkeJz8b15erR/VAAZlJTuyNFevWlItx8bP+A3nctS5wYQ/X1ji9V/2xDn3Dy+o4PeLqOmai/OxSu4A7I1T8MWcIDL1c1AtAjMux58N/RktMrGM/K1MtTLM4w2GDMTCGhlE2cKaE9smwO1smUthSSvNg+oWQZykvz/kd3DxXDEVLcLjB0bnhqnKHGxw54fdFQEFpFQ/P+SFkbMO+EvJqXHS+4HHY8qWoDOetk0p3f0rwgR0B4wLyfRc8Jud7/sNy0b7gcUv92RGygnQl2OmUEuHPxOGWWFdwn5P0nuL6fO9WyOgNZ/1J/g82CFn9oc8E2PK5bKfkwNhfhpfnB/kM/6O8QLIDOw0SA2ZLkNdPfkiKE2t98p1enByQWtm/UTpXXj3DpAEfxsQtBqOUsiulliulZlvbvZVSC5VSG5VSbyqlnNa4y9reZO3vFa85H3UkZsjFJhh/a922omBTwLiApLbO/UNUsrDakhKvQ+pdUrLFzdjvrNBK9/ww2Vu7VwRSi6vLJDW4KBdevUwkbnwtUEtIzJBiUr9KsisVLngUPvmtnOcNH8BzZ9TX1PJkwaX/hVsXwJTPYOpXIh3TGDXlUtn/6AjRU3vseFg3G5a8IKnO7nSJ+WT0hNrq+okBu5a27Dsa2g3xDPLfAQT/VT0APKy17gccAKZY41OAA1rrY4CHreMMbUGCSwLf05bAJf+FWxfCiTfFTAiyuLKGfUWV5BVXUuW1Ck6ry+sfWF0e2r+lHZHpcXLnGf1Cxvp1SqZ3UoUYhvkPw5YvJINqwX8CQe0eo+vHP46ZCLsCrjZ8NRKj2bsKXjw3tBlYpCS4JYPt5ytg2mK49TtY9RZs/zZwTHlhaLq2H09HWYV0P1EMZVMtDSqLZMUZzBd/ke/68iWysinNg+0LJKvshg+liNNP91H1tdIMhxVxcZEppboB5wJ/Ae5SSilgAnC1dchLwO+BJ4ELrecAbwOPK6WU1n5hEkNMcafJo2O/po9tBQWlVfzh/TXMXrUHjzOBeyYN5PzhXUjLGSp3z8ENq069S6RlWoqvRi5utV654EZR2Vcpxei+HXh/2hhmLNlJ/+wUzhnSGUfNbtj3fejBi5+FUT+TLDZPFlzxCnx8r/S7P+EG6DUWPv9z4HinR+Zb65VeMRUH6xcvghiI6jJxcbpS6sdUnIlWDMsqsizYWP893GEUEJpLrbd+VlhVsdy4FO+SKv/pF8gqFSTD74rp0jqh4wC4+OnYFrkaYk68YjD/Bu4G/LrjHYCDWmv/ejgX8K+/uwI7AbTWXqVUkXV8yO2bUmoqMBWgR48otFA1tBk+Xy1vLcll1kpR4i2p8vJ/733PqN6ZpHXqBFPnSbOrolw46RbIHtzyD6sphy1fwcyfycW1y/Fw5cvN7w9fmhfIkKojR5PqdjC0WzpDuwWNF4W5E3enBXQtXSmSwND9RNDWduVBiblsmy+teCf9HRY8Lsfb7OGD8aX50ltm81w55sSpcPqvG45jJGVKLOT5swPGYMS14SV2mktCksw/eHV0zETYvVz+3/hJwLiArGI2fwl3rQe0EY48AmhzA6OUOg/I01ovVUqN8w+HOVRHsC8woPUzwDMAI0eONKubw4jSah9fbKhfMb9850H6ZadIUPyMP8odcUNB5UipKIIZ1wayuXYvgw9/DRc/FZkGmLdaXFT/u0U0y445Uyrbw60kgnEmw3HXSAq0n7P+Ij1f/Njsokp86DVJog3mb2f88T2iPmCzw9l/q98XptYnVfP+xl+1PumIOfhi6NFIoDzrWLh9ucSBUrpIenA0Vg6eDnDZi1JHteNbcXkNuwLeulE6PwYX2fo5sFWMYXM6ilaXg/bFrk+OocXEYwUzBrhAKTUZcAOpyIomXSmVYK1iugF+J3Au0B3IVUolIEUDhW0/bUOsSHLaGdUnk4VbQ3+sQ7sGXfDtCdHp5FiWV78X/I4FcvceiYGpKISXLwpkYW38FD66V4xMYy2JE9PhzD+J62vv99B7rBiTcO0Ean2yeklIDFzofV44/xFxi7lTwJla/4LqrYRtX9V/v9zF0GNUw3NLcEpWXSz6taRkiw5Z5QHAJvO/+TMrPTwdvn0Egr3dJ06J3Lj4amTVM+8hqNgPJ0+DziOsnjaG9kCbGxit9W+A3wBYK5hfaa2vUUq9BVwGvAFcD1jVfcyythdY+z838Zcjg8KyKlbnFvH1xv1cf0ovFm89wIItBTjsitvGH0PntBh0xPRkSeDYVxMY6z46cqHFisLQFF+Q1N2assYNDMgdvaeDNOdqiLICqQ1Z/aYEvMffJ+4xu5Xa29hKyZEkHS9/+CR0vPfYxucVa/yp4SAGx09aNwnsf/5nWYGcfo+kR0dKWT48fVqgbfHGOXDdzNjKDRmaRXuqg7kHeEMp9WdgOfCcNf4c8LJSahOycrkqTvMzRJHSqhoem7uJF77dBsB7K3bx7ytH8NDlw0iwKVLcDjyuGPx6utPh8ukw81YJlHceLppgkUrkuy2pleCq9uzBYHNCqb9QsYWuGm81LP5voD/MrmWwZZ7EoIIvzA2hlFTm714Gy18Roznut1LnEozWcnHWWtxRzV0Z+nxQni8XdodHVgzhlJqbwpUsMZqrXrXm0ky33LZvAsbFz7ePSlwtXHzqaKCqRM5lO/n+6khcDIwcOVIvWbKk6QMNcWNvUSWnPvA53trA71+CTTH/ngnkxGLlEoy3WlYiLckiqyqTDpgf3CVxkdSucN17UH5ALvBbv4LsQdDlhIaNQnVZoOAwmJJ98N/x9Xu23PI1dB7WjDmWQnUJoMQgBsetKktEkv+z+yV2cfJtMOzK5l3c966W4tfyAjl/F/4HBk5umZFpDZs+g1cuDR0beoW4EptShzjSqC6X2qIv/yq/16fdLTp6zezDo5RaqrUeGa1ptacVjOGoQtfL1NBB/8aUBGfTQfmGcHkkaN53osRtnB7JbivdC2/dIJllIE28Ln1eVkb+C3x5odTArJohjcVG3hRqhGx2CbDXNTDNDV67khu+sJTuhTeuCsQ9Pr5X0oMj7cFTlg/vTg1I63srpYtozxVtb2Byhkldjr8Q1+mBcfccfcYFoGQPPDshUB+2+XO5MckZGtdpGTVlQ1zwuBK4YmRoavAVI7vFxi0WbZweCYh36CPGozhXZOz9xgUktfjAVkkAKNgsq5bFz8HbN0km2Ly/wysXhwpgejrCpAdDiwuHXdnsDpf1qDggRvDgDnletyX0ildDG78FU+uT1Ge/Qamtra864K1s+PWxJLmTxFyueRsufkYKguvMjtKQAAAYCUlEQVS6A48WVr4eWnysNSx6Vn5eceQw+Gs2HImkuB38+uwBnNYvi7nr85gwsBOj+2SS4j7MKrftLjEAdWMBIJXsa9+F1W/AbYtCtcZA5F6qSkJVg3OGSpX97mUiMJnatXUpw2X7Yc79sPI1uej0Pl3qfl48L2AQswZC8T5ISg9tEV1+QJS0v3tCJGXO+ov0kOkzXu6Q/XiyJA07HiR3gn5nxuez2xPhVuSpnUP15OKAWcEY4kamx8WkoZ156LJhTB7amUxPjOX6Y4HDDVmDJP04mPSeshKpLBJX2oaPoOeY+q+vK4XiSJTsqmMvkLhLa9si7FsjKxS/S2zrPNjxncjsgyg0DJgMT46SxIDgyvttX8P7d0j/l9zF8OIkMaQXPiGvt9nFTXXdTCNIGW8Gnhe6ekvOlvYTccasYAxxRzWnqK49kpwFQy6DjF7SBjizLwy5GP7308AxiZlw/HUBeXoQIxLrO/+dC+uP7V4B5z0srjtvhagWe6ske23o5WLkKotg2Uuhr6v1SRHnyJvg0ufkNTZ7VKV2DC0kJUfqi3avAO2VJJN20E/HGBiDobUoZRUqni/B/6pieOrUgH5aRi/oc5oUTt62GDbNkQyf7MGx19rqd6YITAYz6CJpA/DaFaFtjL2VkoH03ZOSHRauF4t/LBpSMoboktwJ+p8V71mEYAyMwRBNnEly8b7lK4lTOJOh58kBCRh3qvRWaQ4+r1T2O5KanyGV0VsSB774K/iq4ISbpPbE7pR4zMagosyhl0sCwsf3Subate9Ja2e/snKvsdLm2mCIEFMHYzC0Z8r2S4bQ9+9IB8zx90lacaT4vGLobDZp6rXhQ9m+4QNZea18Q+Iy/c6WWMx/TgokLGQPgcn/EDeYv4VzQ+6wyiKpv6mpkELT5AgKQw3tDlMHYzC0F3w+qCqSmEWkUjPNoaZSesbM/5ds714OW7+Gn3wRWWU/SHrxh7+UFOVgyvLFRTf6VjjhRlkdHdwWmg2373t476cwZU7j/vyKA/DNo/DNw5JMkN5DDFhzDKHhiMRkkRkMLaFsvygVv3a51LrULY6MBpVFsPzl0LHiXaJCECnKFj6RIMHK2LPZpSjTZpNU5N6nhR43/v+azhArLxAj6PeGHNwBn95fX7OtrfH5JNXaWxXfeRzFmBWMwdBcaiqkM6W/N0vuElExvumT6GXulBeK3EtydmizNZAAfGVRZAWYyVlw1p/h1UsDBqDfmaH1Ln48HUV9YMe3sGelJAOk9wyv+BxM3dURQP5aOU/xktAv2y+KCetmisLymDtioxZtaBRjYAyG5hJuZVG4RbLHomFgqspkdbT5cxj/W3jr+oD68/AfiQbXprlw3r8gtUvT79d9FExbKq/LGmBlrzWwKknOgkEXyiNSsgbUV6geeH50umK2hOoymPcgLHpatnd8J3Gm62bJ9zO0GcbAGAzNRdnkbr+yKHQ8IUoinVXFMP/f0rdm7Uy48SMpmOw8XIQmP/yVuH3eKYYrX2k61dmvTdahb3TmV5fETLh2Jsy+A4r3SDba6J+K5ls4tJa+PNXlcs7c6VYL5yhRVQrLp4eO5a214kvGwLQlxsAYDM3FkyXZVa9cGpBbGTlFNMqiga4NNEVb9SaseVeKNy94DGbdHjhu+zehdSzxwpEIvcZIbxddK7GcxtKpC7eIGnPRTkkuuOBxGHBO9M6fUmL0anaFjtVVTTDEHBPkNxiai1LidrpjJVz+Ivz0G5hwX/i4RktwJkH/cwLbvhpJGd7xbehxad2bjo+0JcmdpKK8MeNSXiC9eIp2ynZNuWSq1V0NtoakDjDpodDOmCdOjZ9e2lGMWcEYDC3B6ZFHLFJxEzPgwsdhxeuw9UvoewYMuRRyFwViHU4PXPIMJEXJ5eOttto0u2PbrMpXA3tW1Rmrjm7Gmc0uygm3LxcNtawBou9m1AfaHGNgDIb2iDsDjj1f0om3fwO7lsPZf4I7VsndfmKGHBMNtdyy/RIQ//5dUUs++6+iABALJV5HoigI/PBRYMyV0vqWBHVxpcgjsxktmA1RxxgYg6E9Ur5fultWHAiMKSLPHIuUmkpJKFjwmGwXbIJdS+Gn80Ml4MsPyOqpmR0S6+FOk+/wv3LJ7MroLSuxuj1qokFFkRTClu2Xc5bUwcRh2pg2NzBKqe7AdCAHqAWe0Vo/opTKBN4EegHbgCu01geUSO0+AkwGyoEbtNbL2nreBkObUnEw1LiA3PVX/ym6tSWVB2H1m6FjZflyUU7JEcOy+XNZ4SRnw8T7RbyzNRfq1C5w+Uui5KxrxS3nrWg466wlVBZJH5t5f5dtVwrc+DHkDIneZxiaJB5Bfi/wS631scBo4Dal1CDgXmCu1rofMNfaBpgE9LMeU4En237KBkMb406tH8D315tEE1sCpHarP+6Pw2z+HN65SWT/182CZ8aJ8WktdocUqD5zOvyjH8ycFtrdsyma6tRYWQxfPRDYriqRNGp/Z05Dm9DmBkZrvce/AtFalwDrgK7AhYC/AcVLwEXW8wuB6Vr4DkhXSpmSXMORjSsFzv57wMgkZUqacrQbe3k6wrn/CtVSG/Uz+fzyA7D4mdDjq0vFhdZaKgrhrevEWOlaMV7fPt60rEvFAdj+LcyaBt893bBRqiwKKBf4KdwaWgxqiDlxjcEopXoBI4CFQLbWeg+IEVJK+UuiuwI7g16Wa43tqfNeU5EVDj16GJE9QxtR64tNqrArRVKVu4+C6mKwOcWVVFsb/eB79iDJuCrYKO6rxA6SRFBVCp4woprRUCvIW1ffAGyaA2Nuh4QGMuNqfbD+A5h5mzXwKqx4GX78v/oV+p6O8h2C3YyDLwZXE8kEpXkSh6qpEMWD5OzQdGdDs4ibgVFKJQPvAHdqrYsb6WoYbke9HgNa62eAZ0Dk+qM1T4MhLGX74YdPYMsXku3V89TWtzcOef98EdLMXy/KAbpWUqJv/iz6UvgJLqthWh3HgCsZJv5Oulj6VZZ7nBKdzKwOx9Qf63YSOBoptiwvgK/+ETq2d7WshuoamKSOog33wV1iMAacB6fcDjVlDasGlOZJAWjeWtlO7gQ/+RLSukb8tQyhxKXQUinlQIzLq1rrd63hfX7Xl/W/f+2bC3QPenk3YHdbzdVgqEfFQZh9lxQMrn4LZlwHX/9DNLCihbdajAsE1AIO7pCsr7YkoxdMWwJXvSay/VdOFyWD1pLUAc78kzQ+A5HBGXdP0w3Vwq3ewt2c2hOk++bE+yXt2qbgyVPgw1+L6y8c278JGBcQg7PwKempY2gRbW5grKyw54B1Wut/Be2aBVxvPb8emBk0fp0SRgNFfleawRAXqktFpTeYxc9Gt1jQ7hAl42A8WQGZ/bbC7pCVzcBzoftJ0TEuIEWPI6eIGsIdq+Cad5pOv07qKO0Dgul2UsMpzhWF8PpV8PZNsOi/cgOw5t3QnjfBFIVpuVC0U3rcG1pEPFxkY4BrgdVKqRXW2G+BvwMzlFJTgB3A5da+D5EU5U1ImvKNbTtdg6EuKuC28hPtOExSR7hiurjJSvMkyH/lKzJ+pODyyCMSqkokJtRjNEydJx0+c4ZCn/ENd9kEWQnWRTeQgXbsefDZ/4PaIINy0tToiZgehbS5gdFazyd8XAVgYpjjNXBbmGMNhvjgSoYR18KylwJjY+6MbjW6zQbZQ+GW+aLX5Ui0CgWPwtrosv3w2e9h5WvQezyceieM/WXT0i+uNBh9W2i6cs8xDYtqerLh5rkw949yzk/9BXQaHLWvcTSidN1MjiOAkSNH6iVLlsR7Gu2Gaq8PZ0I7EkU8EigrgD1WC+P+Z0PWwKZl8w0tY/kroiJ9yX8l+WH9bMjoA+PulhqexrK8ygth+3yRwel+Mgy5pOmeMJVFkq2XFCXx0sMIpdRSrfXIqL2fMTBHLgWlVXy5IZ/P1+cxbkAWEwd2IjO5jX34hvZBeaFU7VcUSazDkxUbrbFo462Ed34iLsmcIfD5nwP7UnJg6leQEkFWnbdKEgpMynGjRNvAHIXr7aODksoa/vbRet5emgvAB6v3cPFxXfnDhYNJTTR6TIcVZfmQ/4Ok2/Y5XYxDsJunvFAKCG328PGI8gL49H5Y8YpsezrClM8iTzf2VgfqSdraTWd3Qd+J8pnz/xW6r2QvFOVGZmDaOjnCAJh+MEcsZVVe3l2WGzI2c+UuyqtNRsxhRXkBvHcrvDgZ3v85PHY87F4e2H9wJ7x5Dfyzv1XDsb6+jErpvoBxAYlpzLk/sqy38kJp3/zEKHhqjLSKrjgYne8WCUpJ8N2dHj5brLXim4aYYgzMkYpSJNRxgdhtiobzKwztkvJC2PhpYLvWB5/8VoxEeYHohG23GpHt+x5euRjK80PfI1z6beGWyLph7lomxqjigKykZt8JhZtb/n1agqejSPyf9edQLbb+ZzeeQWaIO8ZFdoSS6krg5rG9eeLLwMXgpjG9SXabH/lhRU15/bHKYtA+8NXCzkWh+4p3S6/7YLIHW4rFQQZl2BVNd+Cs9cHqGfXH186CridENv9o4U6BnOEiabNjgRSAZvaJvjabIaqYq80RSpIrgZ+M7cO4AZ2YvymfMX070j87hWSX+ZEfVqTkSGvkoiA5vpOmyoW1vBA69IWCoBWFKxUcdeo2kjqIbMqHv5K4xXHXwHE/FiXlxrDZpbhyVR05/25tbFz8OBPB2R3Suzd9rKFdYLLIDIb2TvFu+OZR2L9BjEPfCZISrbW0H37lYnGXOZPhsueh9zhwhAlqlxdIEaE7I/LeK6X5MONaWTWAuKUu/E/0KvoN7QqTphwBxsAYjji8VfLw92nx4/NK98vqMtHxSsyIfuV52X6RV1E2MWJHar1PrU9SuRMSm9ZEO0IxacoGw9FIgit8qq09IbS1cSzwdDzyg+llBRJvWv2WFM2O+41xxUUBY2AMBsPRjbcKFj4RaAWwaylsnQc3fx5ZjY2hQUyassFgOLqpOAjLpoeOFeWKGrOhVRgDYzAYjm5stvBJC46jMw4TTYyBMRgMscNbE1lBZzzxZMHkf4SmbR93jaR8G1qFicEYDIbo4/NByS749jHJQjvldmmTXDcLrr3Q+ThpfrZrKWT0ljbJR6GacrQxBsZgMESfsn3w1KkifQ/SSXLKHCncbI84k+SR1i3eMzmiMC4yg8EQfbZ+HTAufub/S+p1DEcNxsAYDIboE65rpDMFc8k5ujA/bYPBEH26nyixDD8Jbjj9btETMxw1HDYxGKXUOcAjgB14Vmv99zhPyWAwNERyNkz5BLZ8JfUkAyZDcqd4z8rQxhwWBkYpZQf+A5wJ5AKLlVKztNZr4zszg8HQIMnZMOzyeM/CEEcOFxfZScAmrfUWrXU18AZwYZznZDAYDIZGOFwMTFcgqCEGudbYIZRSU5VSS5RSS/Lz63T0MxgMBkObc7gYmHB9fkP6DGitn9Faj9Raj8zKMr0qDAaDId4cLgYmFwjWzu4G7I7TXAwGg8EQAYeLgVkM9FNK9VZKOYGrgFlxnpPBYDAYGuGwyCLTWnuVUtOAT5A05ee11mviPC2DwWAwNMIR2TJZKZUPbI/jFDoC++P4+c3BzDU2mLnGBjPX2OCfa0+tddSC2EekgYk3Sqkl0exrHUvMXGODmWtsMHONDbGa6+ESgzEYDAbDYYYxMAaDwWCICcbAxIZn4j2BZmDmGhvMXGODmWtsiMlcTQzGYDAYDDHBrGAMBoPBEBOMgTEYDAZDTDAGJgKUUt2VUl8opdYppdYope6wxjOVUnOUUhut/zOscaWUelQptUkptUopdXzQe11vHb9RKXV9DOdsV0otV0rNtrZ7K6UWWp/7pqWIgFLKZW1vsvb3CnqP31jjG5RSZ8donulKqbeVUuut83tyez2vSqlfWD//75VSryul3O3pvCqlnldK5Smlvg8ai9q5VEqdoJRabb3mUaVUOI3Als7zIet3YJVS6n9KqfSgfWHPl1LqHGtsk1Lq3qDxsD+TaM01aN+vlFJaKdXR2o7bOW1srkqp263ztEYp9WDQeOzPq9baPJp4AJ2B463nKcAPwCDgQeBea/xe4AHr+WTgI0SkczSw0BrPBLZY/2dYzzNiNOe7gNeA2db2DOAq6/lTwM+s57cCT1nPrwLetJ4PAlYCLqA3sBmwx2CeLwE3W8+dQHp7PK+IevdWIDHofN7Qns4rcBpwPPB90FjUziWwCDjZes1HwKQozvMsIMF6/kDQPMOeL+uxGehj/d6sBAY19rserbla490RZZHtQMd4n9NGzut44DPAZW13asvzGvUL29HwAGYizc82AJ2tsc7ABuv508CPgo7fYO3/EfB00HjIcVGcXzdgLjABmG398u4P+gM+GfjEev4JcLL1PME6TgG/AX4T9J6HjoviPFORi7aqM97uziuBlhGZ1nmaDZzd3s4r0KvOBSYq59Latz5oPOS41s6zzr6LgVet52HPV/C5Dj6usd/1aM4VeBsYDmwjYGDiek4b+PnPAM4Ic1ybnFfjImsmlqtjBLAQyNZa7wGw/vf3hG2of02TfW2ixL+Bu4Faa7sDcFBr7Q3zuYfmZO0vso5vi7n2AfKBF5S4855VSnloh+dVa70L+AewA9iDnKeltM/zGky0zmVX63nd8VhwE3I335J5Nva7HhWUUhcAu7TWK+vsao/ntD8w1nJtzVNKndjCubbovBoD0wyUUsnAO8CdWuvixg4NM6YbGY8aSqnzgDyt9dII5tPYvpjPFbmzPx54Ums9AihD3DgNEc/zmoF0Ue0NdAE8wKRGPjee5zUSmju/Npm3Uuo+wAu86h9q5nxiOk+lVBJwH3B/uN3NnFNb/Y1lIC67XwMzrDhPm8zVGJgIUUo5EOPyqtb6XWt4n1Kqs7W/M5BnjTfUv6Yt+tqMAS5QSm1DWktPQFY06Uopv3p28OcempO1Pw0obKO55gK5WuuF1vbbiMFpj+f1DGCr1jpfa10DvAucQvs8r8FE61zmWs/rjkcNK/h9HnCNtvwwLZjnfhr+mUSDvshNxkrrb6wbsEwpldOCucb8nFqf8a4WFiFejY4tmGvLzmtr/H1HywOx3tOBf9cZf4jQAOqD1vNzCQ32LbLGM5GYQ4b12ApkxnDe4wgE+d8iNEB3q/X8NkKD0TOs54MJDQJuITZB/q+BAdbz31vntN2dV2AUsAZIsj7/JeD29nZeqe+Dj9q5RPoyjSYQkJ4cxXmeA6wFsuocF/Z8IXfmW6wxfzB6cGO/69Gaa5192wjEYOJ6Ths4rz8F/mg974+4v1RbndeoXiyO1AdwKrIcXAWssB6TEb/kXGCj9b//l0YB/0GyMVYDI4Pe6yZgk/W4McbzHkfAwPRBMlY2Wb8o/qwSt7W9ydrfJ+j191nfYQOtyG5pYo7HAUusc/ue9QfYLs8r8AdgPfA98LL1x9luzivwOhIfqkHuRKdE81wCI63vvhl4nDrJGa2c5ybk4uf/+3qqqfNl/Q3+YO27L2g87M8kWnOts38bAQMTt3PayHl1Aq9Yn7EMmNCW59VIxRgMBoMhJpgYjMFgMBhigjEwBoPBYIgJxsAYDAaDISYYA2MwGAyGmGAMjMFgMBhigjEwBkMzUEqVxnsOBsPhgjEwBoPBYIgJxsAYDC1AKTVOKfWlCvSyedXfy0MpdaJS6lul1Eql1CKlVIqS3jEvWL0/liulxlvH3qCUek8p9b5SaqtSappS6i7rmO+UUpnWcX2VUh8rpZYqpb5WSg2M5/c3GCIhoelDDAZDA4xAJDd2A98AY5RSi4A3gSu11ouVUqlABXAHgNZ6qGUcPlVK9bfeZ4j1Xm6kSvoerfUIpdTDwHWIltwzwE+11huVUqOAJxCdOYOh3WIMjMHQchZprXMBlFIrEB2oImCP1noxgLZUt5VSpwKPWWPrlVLbEW0ogC+01iVAiVKqCHjfGl8NDLNUvE8B3gpqeOiK8XczGFqNMTAGQ8upCnruQ/6eFOFlzBtrhRv8PrVB27XWe9qQXhzHtXyqBkPbY2IwBkN0WQ908Td2suIvCcBXwDXWWH+gByIy2CTWKmirUupy6/VKKTU8FpM3GKKJMTAGQxTRWlcDVwKPKaVWAnOQ2MoTgF0ptRqJ0dygta5q+J3qcQ0wxXrPNUjzM4OhXWPUlA0Gg8EQE8wKxmAwGAwxwRgYg8FgMMQEY2AMBoPBEBOMgTEYDAZDTDAGxmAwGAwxwRgYg8FgMMQEY2AMBoPBEBP+PyNR6/PfJhCrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x='Income', y='Debt', hue='Status')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we create a model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "knc = KNeighborsClassifier(n_neighbors=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we \"train\" or \"fit\" it to our data. Here we tell the model that we want it to try to learn to predict \"Status\" given \"Income\" and \"Debt\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "                     metric_params=None, n_jobs=None, n_neighbors=1, p=2,\n",
       "                     weights='uniform')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knc.fit(df[['Income', 'Debt']], df['Status'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can have it make predictions. For example, suppose we want to predict a customer with Income = 13000 and Debt = 400."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Paid'], dtype=object)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knc.predict([[13000, 400]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you see above, the model predicts that the customer will pay. Similarly, as you can see below, if we pick income = 2000, debt = 400, the prediction is also paid. This corresponds to the top left of the figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Paid'], dtype=object)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knc.predict([[2000, 12000]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also generate a picture showing the prediction for each possible point in our space, as shown below. This syntax is fairly advanced, so don't feel too worried! Often when working on machine learning notebooks and especially with visualization, you'll be borrowing bits of code you haven't fully understood."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "sns_cmap = ListedColormap(np.array(sns.color_palette())[0:2, :])\n",
    "xx, yy = np.meshgrid(np.linspace(0, 16000, 500), np.linspace(0, 1500, 500))\n",
    "Z_string = knc.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "categories, Z_int = np.unique(Z_string, return_inverse=True)\n",
    "Z_int = Z_int\n",
    "Z_int = Z_int.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z_int, cmap=sns_cmap)\n",
    "\n",
    "sns.scatterplot(data=df, x='Income', y='Debt', hue='Status')\n",
    "fig = plt.gcf()\n",
    "fig.savefig('paid_unpaid_decision_boundaries.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## k Nearest Neighbors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knc3 = KNeighborsClassifier(n_neighbors=3)\n",
    "knc3.fit(df[['Income', 'Debt']], df['Status'])\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(0, 16000, 500), np.linspace(0, 1500, 500))\n",
    "Z_string = knc3.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "categories, Z_int = np.unique(Z_string, return_inverse=True)\n",
    "Z_int = Z_int\n",
    "Z_int = Z_int.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z_int, cmap=sns_cmap)\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.savefig(\"3_nearest_paid_unpaid_decision_boundaries.png\",\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knc10 = KNeighborsClassifier(n_neighbors=10)\n",
    "knc10.fit(df[['Income', 'Debt']], df['Status'])\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(0, 16000, 500), np.linspace(0, 1500, 500))\n",
    "\n",
    "Z_string = knc10.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "categories, Z_int = np.unique(Z_string, return_inverse=True)\n",
    "Z_int = Z_int\n",
    "Z_int = Z_int.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z_int, cmap=sns_cmap)\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.savefig(\"10_nearest_paid_unpaid_decision_boundaries.png\",\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knc50 = KNeighborsClassifier(n_neighbors=50)\n",
    "knc50.fit(df[['Income', 'Debt']], df['Status'])\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(0, 16000, 500), np.linspace(0, 1500, 500))\n",
    "\n",
    "Z_string = knc50.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "categories, Z_int = np.unique(Z_string, return_inverse=True)\n",
    "Z_int = Z_int\n",
    "Z_int = Z_int.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z_int, cmap=sns_cmap)\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.savefig(\"50_nearest_paid_unpaid_decision_boundaries.png\",\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knc192 = KNeighborsClassifier(n_neighbors=192)\n",
    "knc192.fit(df[['Income', 'Debt']], df['Status'])\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(0, 16000, 500), np.linspace(0, 1500, 500))\n",
    "\n",
    "Z_string = knc192.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "categories, Z_int = np.unique(Z_string, return_inverse=True)\n",
    "Z_int = Z_int\n",
    "Z_int = Z_int.reshape(xx.shape)\n",
    "cs = plt.contourf(xx, yy, Z_int, cmap=sns_cmap)\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.savefig(\"192_nearest_paid_unpaid_decision_boundaries.png\",\n",
    "            dpi=300,\n",
    "            bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nearest Neighbors for Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x='Income', y='Debt')\n",
    "fig = plt.gcf()\n",
    "fig.savefig('debt_vs_income.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([343.56])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "knr = KNeighborsRegressor(n_neighbors=1)\n",
    "knr.fit(df[['Income']], df['Debt'])\n",
    "knr.predict([[15800]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "income_values = np.linspace(0, 16000, 2000)\n",
    "sns.scatterplot(data=df, x='Income', y='Debt')\n",
    "sns.lineplot(income_values,\n",
    "             knr.predict(income_values.reshape(-1, 1)),\n",
    "             color='palevioletred')\n",
    "plt.legend(['Prediction', 'Data'])\n",
    "fig = plt.gcf()\n",
    "fig.savefig('debt_vs_income_prediction_k1.png', dpi=300, bbox_iches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "income_values = np.linspace(4000, 5000, 2000)\n",
    "sns.scatterplot(data=df, x='Income', y='Debt')\n",
    "sns.lineplot(income_values,\n",
    "             knr.predict(income_values.reshape(-1, 1)),\n",
    "             color='red')\n",
    "plt.gca().set_xlim(4000, 5000)\n",
    "plt.legend(['Prediction', 'Data'])\n",
    "fig = plt.gcf()\n",
    "fig.savefig('debt_vs_income_prediction_k1_zoomin.png',\n",
    "            dpi=300,\n",
    "            bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+oU42LsvFMxU3GQjlyTpeFkg0LTt1MSqhEjXLwhhznpfNT/s5/j7gPi/b3wHeiaBoccFfMLFLTgZPTh7pnrwKctK9PvUZY+iRn+31+p5WQHVdA99sr+CFZd9z8di+rN1W0eTpOVncSK0h2CfreFog0bTsXIqo+efSvw3FF9ruIwYEmnBck8KbU8ZSVdvoMyNKRHA6jc/JwmUFlFTAPQvWUlxWzfqd+9ztQQ7My+KAjplJYx2Ei6sp4+vXjKG0so5ZSzaycku51ydrXxZIrKrfo7WedDK7GJXooI0EY0AwLg+HQ+iam0nvztl0zklj9oUjWjQMnLf0O4rLqgK6QzzdFyu3lHPPgrXkZKSGrCgSPQAcDi7FffbsT9wV8jed2J8TBnT1+mSdzL79ZHUxKtFBLYsYEMqE43AInXMyyMtKd9dglFbW8fbKH5k4rAfnewS9fblDIvHU2BYCwOHgTXFPfWM1r149xqsyjWaQWVHaEmpZxIBwgomuGoxJsz7h6udWMH5AtxZBb3+pjq19akzW1EpfitsY7+69ZE8fVpRgUcsiBoQbTPR8qs3LSoupOyRZ3S+hWgrq21cUC1UWMSDcCcdTybhWv4uVOyRZ3S/hKO5oBZkVpS2h61kkOK6UW6fTya7KuiZ9oKIZQ0jWmAVoTyRF8YW/9SxUWbQhYj3J6aSqKO0Lf8pC3VBtiFi7Q9T9YqFKU1FUWcQdnYgSm2R2xylKKGjqbBzRNtGJT7KmECtKqKiyiCM6ESU+yZpCrCihosoijuhElPhod1ZFsVBlEUcScSJKxn5QrUEruGOD/t0lPpo6G0cSLXiaKPL4CvrHKxlAkxCiS6L83SlaZ5HQJNJEVFJRy+kzl7ao2o5VO27wPXH0K+zA+pJ9OqEkIYnwd6dY+FMW6oaKM4nUJjoRYii+gv4799VqMkCSkgh/d0pgVFkobmIVQ/Hnn/Y1cTQ0OnVCSVISMXantESVheImFsHcQLUlviaO1BRHyBOKBk3bBppE0DaIWsxCRJ4BJgA7jTED7W2dgVeAPsBm4GxjTJmICPAIcDJQBVxijPnCPudi4A77svcaY+YFunfYMYvaWvj3v0M/ry2RkgLjx0O297W8ox1DCeSfjlTMoi0ETRMpXhVvdCwSg7gEuEXkaGAf8KyHsngQ2G2MeUBEbgXyjTFTReRk4HosZTEKeMQYM8pWLsuBkYABVgAjjDFl/u4dtrIoKYGuXUM/r62RnQ0nnggOB9x2G4wYEbNb/1hWxbjpi1tsXzr1WHrkWwosEtlQiR40bQvKTGl/xKWRoDHmIxHp02zzROAY+/U8YAkw1d7+rLE01zIRyROR7vaxC40xuwFEZCFwEvBSVITOz4eVK6Ny6YThjjvghx9gwwb46it44w144QU4//yY3D6YdTJ8NTAMpbFhogdNfQXyE0WZKUpzYt1IsJsxZhuAMWabiLge43sAWzyOK7a3+dreAhG5CrgKoHfv3uFJl5oKQ4eGd25bYcGC/a9vvx3+9Cf43e9ipizCXTUwVBJ98aZEV2aK0pxECXB7s7uNn+0tNxozxxgz0hgzsrCwMKLCJS333We5oXbsgMMPh/nzo35Lz1UDl049lremjIuK6yXRg6aaAaS0NWJtWewQke62VdEd2GlvLwZ6eRzXE9hqbz+m2fYlMZCz/XDuubB5M7z1lhXcP/XUqN8yFutkOBxCv8IOvHr1GOobnaSlOOjaIbw6lmgEX2NlYSlKpIhqBbcds1jgEeB+CCj1CHB3NsbcIiKnANexP8D9qDHmSDvAvQIYbl/yC6wA925/921LFdwJw+GHQ1ERZGTAoEGwbFlIpweaUOOxyl8kAsjRDERrBpCSaMQrG+olLKugC7ADuBP4B/Aq0Bv4ATjLGLPbTp19DCt4XQVcaoxZbl/nMuD39mXvM8b8PdC9VVmEwTvvwOLFsGKF9XvZMhg1KqhTA02o8cj8iVQ2VKJnVSlKJNHeUErwvPUWnHGG9bqgwPotAlOnwk03eT0l0IQajwnXV4ruRzcfQ1Z6alBP8U6nYdueaorLqimvrmfWko2s3FIONE31VZRkQXtDKcFz2mmWlXHddVY845xzYNcuuPlmq2jRC4Eye+KR+eMrgPzN9oqgViR0WUPnzFnGOXOWcc+Ctdx0Yn+G9crTQLTSLlFloTRFBH75S/jb3+Cxx+Dxx3Hefz8AZU/N9do2I1BmTzwyf7xlQ00/czCzlmwMqgmhtzqIqW+s5obx/Zh90Qjys9KiJjtoqxIl8VA3lOIXp9OwcVUR/UYcxoJDf8YDl9zVIt4QSsyisEMGN4zvR98uOWRnpNAlJ3qddl0B5Oq6Br7ZXsGitTsYP6AbeVlp1Dc66de1Aw1O4zW47MuNtei3P2d3ZR0dMlOjEnNxOg3l1XVsK6/h6udXaHW3ElPiUsGtJAellXVcunArDxw0hO57S7xWGnvWTnjL7HHtn3/duJhOgq4U3ZIKeGPFFi4e25epb6x23/uhSYN58N0iSvbVtpDDV1HfhpJ95GWlRaXa2qVUt++pYdrba7S6W0ko1A2l+MUVbyjPzCW/ei9ZdTVe4w2B1uVwOIRGJ25FAbFbk6IgJ507ThngVhSue9/8+mquOeYQr3IU5KQz+6IRLdxYb6zYQnl1fVRiLi7XV3Z6ilZ3KwmHWhaKX1xP2GXZHTm4bCtf/O0CzrztpbDiDfFqceFwCCkO8XrvPDv20FwOh0Po3zWXF68Yxc6KWkor65j38SYuHtuXh98rikrMxa2Yq+u9WjVpqfpsp8QP/etT/OIKFL914kU8O+wUshpqeSp3C/LdxpADr/FscZGW6n09jPLqep9yOBxCh8xUDuyUyU+75XLekQfx8Hv73VbR6mc1a8lGpp85uIlV89CkweyradBAtxI3NMCtBMQVKHauWkm3o8cAUJ7ZgQl3/oMnLz4i6JiDyyc/Y2ERZ47oRUFOOl1zMziwUxapUXxqdjoNm0sr2bG3hptfDy5m0Txof8KArtxxygBSHBK1amtviQC9C7LZVl7Nn99fR8m+2pivh64V5u0LLcpTIkJJRS1Tb/87Ry/9F5d8sYBTLnmEPYcObDKBBZpgGhqcFO2s4OrnIhfkDnRPV1FgYYcMrjnmEPKy0jDAwV1yqG90+j0n1pXbzTO4PAsBIXbFgLreRvtEi/IUn4SSz1/X0MiH2b1Y2G80AD327Gzi6w+0ZCpAWXW9W1FA64PcwdzTFQtYuaWcq59bwTlzlnHunGXUNzp9BuTjGV8pzM0gKz2VexasbaIoYlkM6Gu9jWgnIyiJiyqLdkwwE60nLp/69/ndAfjrgocZ6tjnnsACTTBOp6G6viGik3Awk1o4sZJoxVeCVc7xbrGu620ozVFlkYDEqno31KfH/Kw0Zl80gpRePfms5wCy62v5x/3n0qVrHvz0p9RVVvmcYFyKaePOyohOwsFMauFMvNGYrENRzrFa98MXut6G0hxNnU0wYukrDuXp0ek0rC/ZxyMfrOP3EwfjOP+/7H7jefK2F+NY+zW88w6Zu3f5XJ3OpZgKO2Qw/czBTYrjWjMJB7tMq2fRYFZ6Cg12k0BfgdtAhYbhEOpSqrFY98MXut6G0hxVFglGLNdmDmXpUU+53l+70z52IG/94WoK318A77xD5/vu5smHZ3qdYFzdW4vLqnn4vSKmTRhAXlYaPfOz6N4pK+xJONhJzTXxhqKMIz1ZtyXXTjSUpdK2UWWRYMRyQgnl6dGvXMOttankxRfo/5vfeJ1gPBWTK9Dsyi5qzQQU6qQWS2XcnERfF7w54SrLREi5TQQZkg1VFglGqBNKa/4pQplo/crVty+8+iqcfTaOI0ZSWFEB+R2anB9Nt0Yok1qsn+49v5+0FAezLxrRIm04mVw7iZBymwgyJCNaZ5FghPKHHst/ioD3amyEG26AmTOtE37/e8viyMmB3FwYNy6uT3ue9z5nzrKY1E94G7PHzh9GTb2TAzpmRr3rbqhE4vtJhJUFE0GGtooW5bUxgv2njfU/RUC51q61lmLdt6/lyZWVkB2fleWaV0bfclL/JpXc0VKwvr6faRMGcM+CtQk1eUXqwcNXa/dYriyYCDK0VVrdolxEnjPGXBRoWwgC/Qa4AjDAV8ClQHfgZaAz8AVwkTGmTkQygGeBEUApcI4xZnM4920rBOtWibVLJaBcAwZARQXOXaXsWb2W/PFH79932WXw8stRkSsQnnGK4rJqHny3iHsmDuSQrh3ISoueheP6fob1ynNXjpdX13Nwl2ymTRhAVV0DJRUkhD89UrGcRIjLJIIMyUiwdRaHe74RkRSsyTtkRKQHcAMw0hgzEEgBzgWmAzOMMf2AMuBy+5TLgTJjzE+AGfZxComZC+90Gorq0/i/z+uZfNbd3HP2rTTmdIBXXgGnMy4yNVeqK7eUc+ncz0kRvFZvR4r01BROGNCVm07szz0L1rqXZ62pN7yxYgs/f2gJp89cyjfb99LQEJ+xcRGpB494FxMmigzJiF/LQkRuA34PZInIXsD1X1UHzGnlfbNEpB7IBrYBvwDOt/fPA+4CngAm2q8BXgceExExyeg/C5FEzIUvraxjxkI7NfasIZRX1/PBvmJOfOd5SEmBRYvg2GOt5VvDIBy/eryeNF3raJz/1KdNntivfWEF0yYM4P21OynskMHOvbV0yEglKy2F1BShui72MZ1IjVEipNwmggzJiF9lYYy5H7hfRO43xtwWiRsaY34UkYeBH4Bq4H1gBVBujGmwDysGetivewBb7HMbRGQPUADs8ryuiFwFXAXQu3fvSIia8CTiP4XT6WyxIt3Df7yT2prtZHz4AYwfD//5Dxxtu6gWLYJ166BjRzjvPHD4NnbD9au3Vqk6nYZdlbXU1DeSIkJWegp5WYHHOdA6GsN65XHTif2DXr0vmkTywSOexYSJJEOyEVSAW0QEOB04CivO8F9jzD/CuqFIPvAGcA5QDrxmv7/TdjUhIr2Ad4wxg0Tka+BEY0yxvW8jcKQxptTXPdp6gLsts7W8mrNnf9LiCfXVq0Zz4MeLYcIEGD0aeveGujr4h8ef0YcfWlaHD1oT0A8308ebgnpo0mC6dcykT0FOwGv4C3ID3LNgrdd9nnUo2pJciRWR6Dr7OHANVjB6DXCNiDwepjzHAZuMMSXGmHrgTWAskCciLkunJ7DVfl0M9AKw93cCdod5byUEwulRZYzx+iRd7zQ4jzsejjsOysth9Wr49lsrKP7oo9aBv/gFXHGF9XrhQsjLgw4d4Mwz4bPPWuVXD7Tsqy+8BX5vfn0135dWUV5dF3B8vPnPn7hwBG+s2EJeVlpIq/dFm3DHSGkfBFuU93NgoCtOICLzsBRHOPwAjBaRbCw31HhgObAYmISVEXUx8LZ9/Hz7/Sf2/g81XhF9wnX5+PJ9f1dSSXZ6JwoXLmx5kjHQqRNcfDE8/bQV29ixA/bssfa/+Sa8+SbdevXmtYwuLO3Wn7+NPZdGh3UvCTP+EQy+FFSXDulsK69xrynua3y8uQrzMlO545QBNBrjdaz8rd6nKPEiWMuiCPAMBPQCVodzQ2PMp1iB6i+wFI4DK1g+FfitiGzAikk8bZ/yNFBgb/8tcGs491VCI9z1DApy0pl94YgmT9LTzxzMo4vW+35KFoHJk+G996z3c+bA22/DoYdCbS289hocdxypW37giA1fcOPSl1gy5you2vIZ088cTIpgpeWmpUG3brB9e6SGwWfGWVZ6qltRgP/xaf7EnpaWQs/8bDplpbUYq4cmDWbWko0JkaygKJ74jVmIyD+xYhSdgCOAz+z3o4CPjTHHxULIUNGYRetpTWHT7spavtyyh7zsNDpkpFJT38iufXUM6dWJzjkB/O+rV8ONN8KFF8L550NmpntXSUUt977wMX+Y+wfyV36Go66O4t/9ns7frCb7nQX7rzFkCKxcaVknJSVQXY2zoZHSwwZTR2jLovqKWXTPy+KYh5aENT7Nr+9uB5LqINURn2woRYHWFeU9HAV5lDZAa1Ip87LSOaggmx17a7j+pZVN3DQBs4gGD7YC3V4oyEnnmokjmLjnbq4tfIkLFjxFzz//yb1/+58eptt9dyJffonJzETq9j/lO4CnzryJ2T85JqTqZJcb6b8g6uEAACAASURBVM0pY6mpd5IiuFucRyrVtEUAOyekSyhKTAi63YeIHAT0M8Z8ICJZQKoxpiKq0oWJWhatp7XtH3ZW1HDGzI9bTKZvThlL19xMP2cGlsv1JP7mRb/j4A1fcUrRUgCuveYR7p1yAp2PHoOzvoH/9hnGv3oP56L/G8mA6y5mQ+derCs8iEZx8MaJFzHj7gsozE6FVasgPR0GDQpJjvbWrC4Rs6USUaa2TCTafVyJVcPQGTgEK1tpFlZwWklCWlvDUd/g9BoYrqptxJljwv6Hdj2J/1hWxZ8HToCBE/jH+mX0Kt/Be7l9uKNnb3YVbeKMp5ezZU8tAJNOHM3bh/2codvWcfiOjRyy+0dOX7uE6vVvw4L5TW9w+OGWK8xPvYdLjkSrcYkmiagcE1GmZCbYAPevgHHAXgBjzHqga7SEUhKD1qRS+goMb9pVGTBIHur1F/YbzTNHTOTAgg6kp6ZQl5buVhQA5dX1zLjoDsZfOZvxV87m664HA5C26bv9F7z/fjjpJPj6a1i+HKqqrO1Ll8Jzz1mNEJvRnlJNw014aG8yJTPBKotaY4z7G7DrHTR9VfFZixFWVlQI+Ov/01xRzVqykYcmDXZvu/76x1i7/kccq1dbHXJ37IBbb4Wbb7ZOGDXKaq3+85/DUUfB5Mk4H300JuuiJyqR6h3ldBp2VtTww+5KfiyrYndl+GPZllYeTAaCrbP4j4i4ekQdD0wB/hk9sZS2QCA3QPe8TO6ZOJDs9BTKq+t5+D2rjUUkagf8uYGat64o2VdLdnoKD5wxiMy0FLrmZnCgaynXnBzIybF830eMw/H8K2Qvep/M+f9A1qyB/HwoK6Pu+Rc5gyPYsqe2Xbo7ItE7qrXV8NGQSQmeYNt9OLC6v56A1UzwPeCpRC2O0wB3bAjUfiOePuVQUlIDydlw+EBS137Nsl4DOff8B1p8zvZAJL5LX38v90wcSP8DcjHGtDqtub0p8UjT6gC3McYpIv8A/mGMKYmodEqbJZAbIJ5B4FBSUgOt5bDrxddIHTuG0VvWMOb71Xxy0OAW7g5fWTnJkq0Tie/S199LdnoKW8urmTTrk7DSmttLkkG88RuzEIu7RGQX8C1QJCIlIvKH2IinJDLBrKfRFoLAgZReysEHc8vllkXx0su/58UjMnj9mjGIWMrA9YR7+syljJu+mNNnLqVoRwUNDU6v29tqvKO136Wvv5equkZ3UDrUIHVb+PtKFgIFuG/EyoI6whhTYIzpjFW9Pc5e7U5pxyTLIjOBlF5BTjo333Y+z11idekfO+l4/nbLY5w9+xOKdlRQXu3dMtm5rzZu2TrhNIGMNvlZaczy0t4kPyeNWUs2uo/TIHViEsgNNRk43hjjXjvCGPOdiFyItQ7FjGgKpyQ2yeIG8LaWw+wLR5DisCZd1+fsNGMas7ft4Or3nmHea3dyibmL4pfu4+D0Sg7rdTzF/Ua7r1lcVk19o5NO33zFglfu4I4TprDgsKNjMhEmqi+/rLqeRxet44EzBnFAp0xSREhJEe5dsJaVW8rdx2mQOjEJpCzSPBWFC2NMiYikRUkmpQ2RDIvMOBxCv8IOvHr1GOobndQ3Gub8ZyMff1faZJI1xnD/0DNYltuLv79+N3Nfv8t9jSc//5SFKzbRMS+X8up63lixhbQUB0ftKyavZh+PzX+Q1Qf0w3nwwVGfCCO1nnakqWto5P21O3l/7U73tmG98rj3tIGs3VbhddGlZIn5JAOBlIU/e1krX5SkwOk0rC/Z1+RJ/IkLhnP68B7MWFjEfacPpjA3w+2u+qjv8Cbn15x0MpnvvsP/Hn6Keb3H0DM/izd2L6brjSdyW1mZ+7iLNi3lqDvPirqbLlHrD7ylupbsq6V7XqZX6zRRLaT2SqCYxRAR2evlpwIIvpGOooRAtPztvq7r7Un82he+oKbeWiLW6XQCdqHhRSPoXtCBP/7iSm665E98smoTm867DIC7X7qPYzZ+zv1P/I5uD96L2Iqi+rQzcGZlceXCufR/5P6oT3TBJB7EA18xrrysdK9Baq3QTiyCbiTYltA6i7ZLtJ4m/V13255qr+3YX7lqNL977Utevmq0u4hvx55qVhXvIS8rjfLqemYt2citvzyUv94+m5devt197u6sjjjnzWPXiDFc8drX9PjyM2a8+wgHlm3HuWcvjo65YX+W1nzWeD+Rh+JWak2bfCU8Wl1noSixIlr+dn/X9VUJXF5dT3FZNaX76shITbGfeh0t1s2uqmtky9DR3LvjMn6xcTllWbn8+cI7eP74n3OFvR55ce9BLDvwMM4o287ujz6m88knRG3iTuTEg1BiXFqhnVgE2xtKUWJCtPzt/q7rzT0y/cz9K9Zt31vjvr+3Yw8qyObJySN598QLOP+8P3H/pX/k8cvHkiI0uefTR5wGQPnWnUHVWyRi+mssSZbU7GRBLQsloYjU02Rzd0dWuu/rei5wVFnbyOZdle4+VtPPHMy8jzcxvPdg9zU7Zqby6tVjSBFwOBzuyav5k3xpZV2Te+7NsErIq0t2c20Aa6k1rqREdkOFQiJbSO0RtSyUhCIST5PeKqp37K3l2cuO9Hldh0PomptJr7wsDinM4fZTDmPahAHM+3gTvzm+P/lZaU2uefbsT9hdVe+evLxVEjf/LPldOgGw9KstAa2l1gR3kykwrBXaiUNcLAsRyQOeAgZitTq/DCgCXgH6AJuBs40xZSIiwCPAyUAVcIkx5os4iK3EgEg8TfqaLN+cMjbgdVNTHfTMzyYrPZXunTIZ3nuw20oINZbi+iyvXj2Gsqo6Misr4D44pncHvhjQ1a+11Bp3XKKkzmqNRHIRL8viEeBdY8yhwBDgG+BWYJExph+wyH4P8Eugn/1zFfBE7MVVvBEtn3prnyZ9TZb1Dc6gruvt/uFOwA6H0LVDBsbAZa+tBWDdf5Zzw/ifkp/lu661NemviZA666tfVnuLuyQTMVcWItIROBp4GsAYU2eMKQcmAvPsw+YBp9mvJwLPGotlQJ6IdI+x2EozEnkyiMZk2ZprllXXc83zK/h+bz0Ap372L26f+R5l1fU+z2mNOy4RAsPJ5ApTLOJhWRwMlAB/F5GVIvKUiOQA3Ywx2wDs365lW3sAWzzOL7a3NUFErhKR5SKyvKREu6hHm0SeDKIxWbbmmp5WyYNHTwbg0C/+59cq8XTHLZ16LG9NGRd0gNrbuf0KO1BaWefXCoykpZgorjAlcsQjZpEKDAeuN8Z8KiKPsN/l5A1v/x0t/oqNMXOAOWAV5UVCUMU3iTwZRCOLpvk1RYQUsZRmoGt7Zng9O3wCt3z0LPe9/zjb9t6O07Vin497hltb4nluMNlRvo7p1jHD56JR/tAaieQjHpZFMVBsjPnUfv86lvLY4XIv2b93ehzfy+P8nsDWGMmq+KC1rp5o1xCEG/fwJ5crw2lvTQNnz/6EUfd/GJT7LT8rzb0e+b6MbFb2HUyq08mCP8+LiSUWjBXo65gvt+wJy82YCK4wJbLEXFkYY7YDW0Skv71pPLAWmA9cbG+7GHjbfj0fmGwvxDQa2ONyVynxozWTQbzjHb4UQjByhep+czUpfGTROqZNGMDr14yh4PWXADj8ny9TX74H6n3HLiJBcytwWK88pk0YQFVdg/vz+1vFzvU61EWJwnWjJSrtvUgyXkV51wMviEg68B1wKZbielVELgd+AM6yj30HK212A1bq7KWxF1dpTmtcPfFsoe3PJROMXKG63zyv6WrN3TM/i3/3O4yj16+E3t2gc2fYvBlyo9MvytMlNKxXHjed2J+pb6xu2hK8Q7rPlifBfE5vRKp9fTRScEO9ZrIUOraGuKTOGmNWGWNGGmMGG2NOM8aUGWNKjTHjjTH97N+77WONMeZXxphDjDGDjDHaITBBCNfVE268IxJPdv4sA39yue7daAx/v+QIhvXKcx/jz/3m65rf/+1Jdky7B3PJJbB7Nxx4IIweDT/7GWzdCrW1IX82X3hagdccc4hbUXh+/lSHtLAUH5o0uMkKds0/ZyyetKNhhYZzzURO6IgV2u5DiTnhBD8j9WTnTyH4kisrPaXFvR+aNJgH37Vagvhzv/m6ZudRwyk8fiyyYzvMnQv79sGndhivh53sd8UV0K0bXH+99TtMPK3AqroGr5+/uq7RfYzT6aTRQF2jkxvG9+PRRetbfM5YPWlHwwoN55qJnNARK7TdhxJzwol3ROrJzl9g3pdcDU7T4t43v76ax84fFtAX7+uaB3TMtM7p3h127oTZs2HjRnjySbjhBsjIgGeegfvug0suAafTOu4vfwERmDo1pM/tsgKz01N9fn5XAH93VT1nz/6EYx5awrS313DvaQOZf13TzxnK99EaCyQak3Q410yEQsd4o+tZKHEhVJ9xpNY2CPRE7E0uX+tdBHvvVvncc6zmg1RVtdhlUlKomP00HS6dvP96RUXWz//9n6VUQvz8JRW1nD5zaQtLyPXU7fosVXUNfLu9gllLNjZZP7v5mLTWAgkkTziEc832ErPQ9SyUhCPU4Gek8vYDBea9ydXae7cq0PvMM3D55ZalMWQIzlNPxXHHHQBIYyMdr7iEb355Gv0P6Gh9hhNPhO+/h5UrYejQkD9/oLhN8wlz+pmDefi9IlZuKadnfhYiwo9lVU0677bGjeSyzJpP0pEosAzmmp6KvlvHDN6cMpb6Bme77HWlloXSJojnk53TadhcWsn3pVVkp6dQVdfIQQXZ9CnIiflk4Xoqrti6k78ueJhjv1tBRWYHMsaOJv2SyTDZqhCnd2/YsAHSfPef8nd9b0/dgNd90yYM4J4Fa5l14QgeXbSO99fudH8/HTNTW20Rxisbqr1YE574syxUWShxJZSJIJKTRqj3jfWk4Us+T3fcAXt38eulLzLix2/5aekPLS+yYQMcckjI9w11+dmPbj6G1BQHd81f404PBkuRvHr1GM62Vwv03B6LNOnWEg0XWKKjbiglIQl1Eo5k3n4o9411XYg/+TxdYts7duG2X95Av2x4M28zuTmZMHEifPyx9fvpp+E//4EdO2DcOJg3L+C9/bmp3PfeXUXXfbtJMU66d8oku6aK2uycJorCNU4pjQ08f2gDd324lSVZB7apSm7NgGqKKoskoy2tIRCv4rxQ7xvrScOffN787Y9OHklOt5PB9T336WP9vv/+/RfdvBny8uDPf4ZU///2vpRyQYqTf37zIhkvvUh2ncd4PAC1/zeRF9dtZ1GPQbw05ESuXfY6hSkNFLz1O1LXFTEXqPj1b6mZ8qeE/pv0RPtbNUWVRRLR1nys8XpyC/W+sZ40/MkXVOX84MGwaRMceiiMHGml3158MTz6KGzZAnl5OK+5ltLDBvu+RkMDLFoEpaVWweAf/4hj8WLy7d2NhYVU3flHOny9GnniCTL++TZjgbFFnzLtw6fclzEdOlg1Ijt2kLtpA7m5GVZ7kwqP7K6cnIAKLB5EI7jelkm8b0gJm3i20QiHcCfh1lpPod431pNGIPmCcsf16QOVleBwWCm0n3wCxx8PK1ZgiovZU+fkj9mDKNtTzebhY1t2mH1vAY6zJjW5pMnIoOp3t1DX9QAYMoROR49FHAKPPAKAc2cJ1Y/NxOzciXTvTtbdd+JIsUu5jj4aFiyAxkY4/HBYv37/hXv2tFqe/OY3cNBB+7eLwE9+AoWFVjZYjNE1wJuiAe4kIlK1CLEiHEsoEtZTuPd1KShXe3KHwxGVyaM1nzEYRdpw+EDq128kq74GgCN+9SwZvXpwz8SBXDr3c44w5bz24IXWwe+8A1lZVkPEAw/h8rc3hDfuEyfC/PmWEtu8GU47zVIgixbBv/4V+PwXX/RaNxKQUaOgb9/Qz2unaDZUO6EtZm+EaiVE6jMGuq+3/UDM3HzhWE/BKpndT81l8V+f5cyvrQeLj/oMY/I59/DKlaNYdMUt/H7J3z0vChK4WC+g/KYOx/hfWNZOerpVPzJ8OPz4Izz1lFWdftZZTRXCrl0waxZ88EGYo2hz2GGtO7+tMXgwvPxyWKdqNlQ7oS36WEPNcIpUnMPfff0tBBQrN184mV/BuiEbzzmPGaW9mbrr1yyZcxVdqqyCOufy5U0URcm/F1EogYv1muNTaX36WdMq+bIq0jt2oWDaH3wrwjPOgO++C6+N++LF1k97I8R06WBRZZFEtAcfayyCzb4m3VeuGh2VgHykMtiCndA9HyqW9zyM09b+h7cX/4WC9yx30LFXzqb+kJ/w1rhx7nNc417YIYNrjjmEvKw0quoayUpvOe6BsrlCss5Ewp/8Dj0Urr02vHOVFqiySDIiVYsQKSKdyhsL68nXpNtoiLiiimQGW7CK1PVQ8eaUsWQV/RTW/oeC9/7FV70H8H7vYdQf8pMWY1qQk86zlx3Jjr013Px607Uw8rKafqf+lFZbS8JQ9qPKQoka0UjljYX15GvSzUxztFpRNVeehpYdbT0nz1CUbaiKtHRfHbd2P56+EzrScOpEbjljOOc6hMle7uNwCB0yU5n8TMu1MJpP9P6Uli9FUl3f2KSnVDJZw8mCKgslakTrKTKQ9dRaa8bXpNslJ4MuORlhKypvyvP5y0eF1LivRYprsyaIwSpS93fTmM2Xhx8LG/ey6qlP/X439Q3OkN1czZVWaWWdV0Wycec+Lp37ecLXBrVnVFkoUSMeRXeRsGYCTbqRXHRn065Kn0/hvpStK8XV22cL1g0ZzhN+qG6u+deNo7qukUZjSHM4KKmoIS21pXXmWkjK8zOqWyrxiJuyEJEUYDnwozFmgoj0BV4GOgNfABcZY+pEJAN4FhgBlALnGGM2x0lsJQTi0S4hUtZMNGI/3iboRxetZ+6lR7Bld3WTjraudTS8TejZdlDZM/AeqpXj67vx94Qfqptrx97aJsc+ccFwauqdHNBpf6tvgOteXNlkTYz23H8pkYnnSnm/Br7xeD8dmGGM6QeUAZfb2y8HyowxPwFm2McpbYBwVsRrLYnc/M3bamuFuenUNjiZ9vYazpmzjGlvr6HWnkR9rc5WXr0/jbS4zFIooa5N7e27eWjSYB5dtN593eYr33laXEunHut3lUBvSvvaF75gX621rGt6itWYsNEYbhjfL+g1zZX4ERdlISI9gVOAp+z3AvwCeN0+ZB5wmv16ov0ee/94+3glwQllcgkHb8t1JvLyl94m6DtOGcDVz61oYQmVVtb5nNBnLdnovqZLeXib3MH3kqbNv5tXrhrNg+8WBXzCd1lcPfKzKczN8Pld+lLa2ekp/H3pJn4sq+H0mUs5+kFr6dZbTurPsF55baI2qL0SLzfUX4FbgFz7fQFQboxpsN8XA/aq9fQAtgAYYxpEZI99/C7PC4rIVcBVAL17946q8ErwRCuV11dsol9hh4il1kY67ddbLCSUpoFpqQ721TRQsq8WoMlKdZ7nBRojl8L2/G5KKmrd13XRGiXry81VXl3PmSN6cfXzTRXkza+vDsudpsSOmFsWIjIB2GmMWeG52cuhJoh9+zcYM8cYM9IYM7KwsDACkiqJjK/YRFl1fUSsGddEe/rMpYybvjgkN4+vp3lo+WQeyBLyPL5rbiZ9CnJ4a8o4PrrlWO6ZONC9pGnz8/yNUXPrAyLvMvR2velnWlZRQU66VwUJ+LVWlPgSD8tiHHCqiJwMZAIdsSyNPBFJta2LnsBW+/hioBdQLCKpQCdgd+zFVhKJQE/krbVmwg2Uh5qNFWrQ2PXZnE5DZW1TK6P5eaHEbyJdv+JZ+FdV28imXZU8/F4RJftq6ZqbEXbiQ1taryXZiLmyMMbcBtwGICLHADcZYy4QkdeASVgZURcDb9unzLfff2Lv/9AkY/dDJShckwVEvprak3AD5aEqmWAnaW+TZKDzQs1Gi7TL0OEQuuZm4swx5GSk8tj5w0hPTSE/Ky0sV2FbW68l2UikOoupwMsici+wEnja3v408JyIbMCyKM6Nk3xKnPGcLAo7ZPDQpMEtWk9EKjAabtpvOEommCJDX5Okv/Oi2RollCd8b58vHCtGW4XEl7gqC2PMEmCJ/fo74Egvx9QAZ8VUMCUh8ZwsisuqefDdIu6ZOJBDunYgKy2yLolwJ1pfSiYtxcGPZVU0GkNmWgpdcoL3zYc7SQayWsJ16USq8DHUCT6R06KjRSK53RLJslAUvzSfLFZuKefSuZ+zdOqxUWkRHs7TrzclM/fSI/i+tJLfvPqlz8nV36TQmknS16Tcmgk/Xk/47W1N7ERzu8WzKE9RQiLWNRTB1hQ0P8czG+vVq8ewa1+dW1HA/sl1+94anE4TMPMqkp/blalVXF7F9j01FHbIaCKTt0yp5sTrCT8eRZ7xJJRstligykJpM7SVycJTyRhjEPA6uW4tr6ZoRwXl1f4nhUh9bk+l5CqGu+nE/u7qaVdvqObpwc1TgbPS41P4GO0iz0Qj0dxu6oZS2gxtcXGn9FSr35M390lpZR03vrIq4KJKkfrc3p5Up76xmmkTrCpyV2+oytoG9yTsyxXy7GVHMvmZz6KSXOCPRFuvJZokmttNLQulTRGOayieFOSkc1BBNg9NGuy1QK24bP+iSp40nxQi8bl9PanmZaW5ZXp00fomVo0vV0iHzNR284QfLxLNklbLQlGiiMMh9CnIIS87jVeuGs22PTWUVta5K68jtahSMPh6Uu2am8G0CQOaVIPXNTRSUlFLVV2DVwVT3+CkR352ROVTmpJolrQqC0WJMg6H0DknA2eWYW9NAze+sqqJUmjtokrB4i1Ta/ZFI7j/39/w/tqd7uN65mfR6DScPnMp0yYMSChXSHsjkdxukozF0CNHjjTLly+PtxiK0oJI5M23pj5ic2kl35dWNVk7A2gSf5h90Qge+WAd76/dybBeedx0Yn+mvtG0+LG52ymR6gGU8BGRFcaYkV73qbJQlLZDa3LvSypqOX3m0hZWwptTxiKIe6J3Op2Muv9D9zHDeuVxzTGHcNgBuWSlp7ZQBIlWD6CEjz9loQFuRYkC/jrPtobW5N77CnDXNzibBc8dTQLuK7eUc8+CtWSlp3oNridaPYASHVRZKEqEaU1780DXra73HnAOJvc+2OK+ULNwEqEeIFrKWdmPBrgVJcJEox2GSwFt31PjNeAsYtVE+HP7BNvvKtQsnHjXA6gbLDaoZaEoESYaT9ouBfToovVMP7NlzcZd89cEtF5CqYAOpa4jFEskGhaAusFig1oWihJhovGk7VJAxWXVPPxeEdMmDCAvK42uuRn89tUvWbmlnLXbKoLqRBuvpovRsgASwQ3WHlDLQlEiTDQqbz3jDSu3lHP1cyv43Wtfsm7nPnchXTwnyGAskWhZALFuMNleUWWhKBEmGg3vvCmghyZZLUNcJPoEGS0LINHaYiQr6oZSlCgQjSVKXWta19Q7SRWoqm/0uwZ3qES7sC5agfBEa4uRrKiyUJQ2ROm+/a6cEwZ05cUrRpHikFZPkLHIKIrmMq8Oh1CQk+5WdqWVdaowIkzMK7hFpBfwLHAA4ATmGGMeEZHOwCtAH2AzcLYxpkxEBHgEOBmoAi4xxnzh7x5awa0kI74qsCOxQp2/a3tOwpFQStGwXjR9NjIkWgV3A/A7Y8xhwGjgVyIyALgVWGSM6Qcsst8D/BLoZ/9cBTwRe5EVJf5EM+vH37UjWWDosgDSU1PcFoCmz7YNYq4sjDHbXJaBMaYC+AboAUwE5tmHzQNOs19PBJ41FsuAPBHpHmOxFSXuRDPrx9e1RSSik3A41e3B1GZo+mz0iWs2lIj0AYYBnwLdjDHbwFIoQFf7sB7AFo/Tiu1tza91lYgsF5HlJSUl0RRbUeJCNLN+fF07RbwvCRvuJByqBRCscglVkWp7kNCJW4BbRDoAbwA3GmP2WqEJ74d62dbimzXGzAHmgBWziJScihIO0fLNZ6Q6uGfiQHeL8YzUyDzv+cooKq2si2gGU6gWQLCtU3yt1ZGfldbimhrfCI+4KAsRScNSFC8YY960N+8Qke7GmG22m8m1Gksx0Mvj9J7A1thJqyihEa3JqLSyzr3uhItIBbjBe7pvpDOYQk2fDVa5OBxCv8IOvHjFKHZW1FJaWccjH6zjN8f3bzHu0ejd1R6IubKws5ueBr4xxvzFY9d84GLgAfv32x7brxORl4FRwB6Xu0pREpFoTUbx8MtHuoYhVOUTinIpq67n/Kc+bXKstxYoGt8Ij3hYFuOAi4CvRGSVve33WEriVRG5HPgBOMve9w5W2uwGrNTZS2MrrqKERrQmo3h1d41kgWGoyicU5RLsuMe7S25bJebKwhjzP7zHIQDGezneAL+KqlCKEkGiNRlFs6gtlgSrfFxxn87Zabx69RiMMX6VS7DjnizjGGt0WVVFiTDRDKC2l7WuXWM4Y2ERZ47oRUFOOl1zMziwUxapPoL6oYx7exnHUNE1uJVWof9YoZPIY5bIsrkoqajl9rdWc/HYvkx9Y3WTDKfDDujoU9628NkSGX/KQntDKX7RNMPwiMa6EZ6EOym2le+zrqGRM0f0cisKsOIPVz+3wm+iQLTHvT2jLcoVv2gbhcTDX6FaoGKzcL/PWBexuRSgZi0lDmpZKH7RNMPEw9eE/+aUsU260nqzGsL5PuNhjRTkpFNd16BZSwmEWhaKX3QVssTD14RfU+8MaDWE833Gw7p0OIQDO1kxCl3UKDFQZaH4RVchSzx8TfjB9HEK5/uMl3WZmurgsAM6RnTFQSV81A2l+EVXIUs8fNUJZKUHrjMI5/uMZxGbBqwTB02dVZQ2iLdsKCAqsYW2kkGltB6ts1CUdkI0V6JLlvqFZPoskUbrLBSlnRAtt02yuIPUSgofDXAritJu0Lqh8FFloShKu0HrhsJHlYWiKO0GrRsKH1UWiqJEnERd41rrhsJHA9yKokSURA4ia91Q+KhloShKREn0ILIrs6tHfjaFuRmqKIJElYWiKBFFg8jJiSoLoD8wzgAACGFJREFURVEiigaRk5M2oyxE5CQRKRKRDSJya7zlURTFOxpETk7aRIBbRFKAx4HjgWLgcxGZb4xZG1/JFEVpjgaRk5M2oSyAI4ENxpjvAETkZWAioMpCURKQZGkPouynrbihegBbPN4X29vciMhVIrJcRJaXlJTEVDhFUZRkp60oC2/2a5MqH2PMHGPMSGPMyMLCwhiJpSiK0j5oK8qiGOjl8b4nsDVOsiiKorQ72oqy+BzoJyJ9RSQdOBeYH2eZFEVR2g1tIsBtjGkQkeuA94AU4BljzNdxFktRFKXdkJQr5YlICfB9Ky7RBdgVIXEiicoVGipXaKhcoZGMch1kjPEa9E1KZdFaRGS5r6UF44nKFRoqV2ioXKHR3uRqKzELRVEUJY6oslAURVECosrCO3PiLYAPVK7QULlCQ+UKjXYll8YsFEVRlICoZaEoiqIERJWFoiiKEhBVFh7Ees0MEeklIotF5BsR+VpEfm1v7ywiC0Vkvf07394uIvKoLd9qERnuca2L7ePXi8jFEZIvRURWisgC+31fEfnUvscrdjU9IpJhv99g7+/jcY3b7O1FInJiBGTKE5HXReRbe9zGJMJ4ichv7O9wjYi8JCKZ8RgvEXlGRHaKyBqPbREbHxEZISJf2ec8KiJB9R33IddD9ve4WkTeEpG8QOPg63/U11iHI5fHvptExIhIl0QYL3v79fbn/1pEHozpeBlj9MeK26QAG4GDgXTgS2BAlO/ZHRhuv84F1gEDgAeBW+3ttwLT7dcnA//Gaqw4GvjU3t4Z+M7+nW+/zo+AfL8FXgQW2O9fBc61X88CrrVfTwFm2a/PBV6xXw+wxzED6GuPb0orZZoHXGG/Tgfy4j1eWB2QNwFZHuN0STzGCzgaGA6s8dgWsfEBPgPG2Of8G/hlK+Q6AUi1X0/3kMvrOODnf9TXWIcjl729F1bHiO+BLgkyXscCHwAZ9vuusRyvqE2Ebe3H/kLf83h/G3BbjGV4G2uBpyKgu72tO1Bkv54NnOdxfJG9/zxgtsf2JseFKUtPYBHwC2CB/ce+y+Of2z1e9j/VGPt1qn2cNB9Dz+PClKkj1qQszbbHdbzY30K/s/35FwAnxmu8gD7NJpmIjI+971uP7U2OC1WuZvtOB16wX3sdB3z8j/r72wxXLuB1YAiwmf3KIq7jhTXBH+fluJiMl7qh9hNwzYxoYrsihgGfAt2MMdsA7N9dA8gYDdn/CtwCOO33BUC5MabByz3c97f377GPj7RcBwMlwN/Fco89JSI5xHm8jDE/Ag8DPwDbsD7/CuI/Xi4iNT497NeRlg/gMqwn73Dk8ve3GTIicirwozHmy2a74j1ePwV+ZruP/iMiR4QpV1jjpcpiPwHXzIjajUU6AG8ANxpj9vo71Ms242d7uPJMAHYaY1YEce+YyYX1FD4ceMIYMwyoxHKr+CJW45WPtXJjX+BAIAf4pZ97xGq8AhGqHFGRT0RuBxqAF+Itl4hkA7cDf/C2O15y2aRiublGAzcDr9oxkJjIpcpiP3FZM0NE0rAUxQvGmDftzTtEpLu9vzuwM4CMkZZ9HHCqiGwGXsZyRf0VyBMRV6diz3u472/v7wTsjoJcxUCxMeZT+/3rWMoj3uN1HLDJGFNijKkH3gTGEv/xchGp8Sm2X0dMPjsYPAG4wNg+kTDk2oXvsQ6VQ7CU/pf2339P4AsROSAMuSI9XsXAm8biMyyrv0sYcoU3XqH6Q5P1B0trf4f1h+IKBh0e5XsK8Czw12bbH6JpQPJB+/UpNA2wfWZv74zly8+3fzYBnSMk4zHsD3C/RtOg2BT79a9oGrB91X59OE0Db9/R+gD3f4H+9uu77LGK63gBo4CvgWz7XvOA6+M1XrT0dUdsfLDWlhnN/oDtya2Q6yRgLVDY7Div44Cf/1FfYx2OXM32bWZ/zCLe43UN8Ef79U+xXEwSq/GK2kTYFn+wsh3WYWUQ3B6D+x2FZf6tBlbZPydj+RQXAevt364/PAEet+X7Chjpca3LgA32z6URlPEY9iuLg7GyOzbYf2yurIxM+/0Ge//BHuffbstbRJCZIAHkGQost8fsH/Y/Z9zHC7gb+BZYAzxn/+PGfLyAl7DiJvVYT5aXR3J8gJH2Z9wIPEazZIMQ5dqANeG5/vZnBRoHfPyP+hrrcORqtn8z+5VFvMcrHXjevt4XwC9iOV7a7kNRFEUJiMYsFEVRlICoslAURVECospCURRFCYgqC0VRFCUgqiwURVGUgKiyUJQQEJF98ZZBUeKBKgtFURQlIKosFCUMROQYEVki+9fWeMG1VoGIHCEiH4vIlyLymYjkirW+xd/ttQ1Wisix9rGXiMg/ROSfIrJJRK4Tkd/axywTkc72cYeIyLsiskJE/isih8bz8yvtj9TAhyiK4oNhWK0WtgJLgXEi8hnwCnCOMeZzEekIVAO/BjDGDLIn+vdF5Kf2dQba18rEqqidaowZJiIzgMlYfbnmANcYY9aLyChgJlbPLkWJCaosFCV8PjPGFAOIyCqsXj57gG3GmM8BjN1FWESOAv5mb/tWRL7H6u8DsNgYUwFUiMge4J/29q+AwXZX4rHAax4LrWVE+bMpShNUWShK+NR6vG7E+n8SvLd79recpud1nB7vnfY1HVjrDwwNX1RFaR0as1CUyPItcKBrYRo7XpEKfARcYG/7KdAbq+lbQGzrZJOInGWfLyIyJBrCK4ovVFkoSgQxxtQB5wB/E5EvgYVYsYiZQIqIfIUV07jEGFPr+0otuAC43L7m11iLLSlKzNCus4qiKEpA1LJQFEVRAqLKQlEURQmIKgtFURQlIKosFEVRlICoslAURVECospCURRFCYgqC0VRFCUg/w9i9sy8UEzvKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knr50 = KNeighborsRegressor(n_neighbors=50)\n",
    "knr50.fit(df[['Income']], df['Debt'])\n",
    "\n",
    "income_values = np.linspace(0, 16000, 2000)\n",
    "sns.scatterplot(data=df, x='Income', y='Debt')\n",
    "sns.lineplot(income_values,\n",
    "             knr50.predict(income_values.reshape(-1, 1)),\n",
    "             color='red')\n",
    "plt.legend(['Prediction', 'Data'])\n",
    "fig = plt.gcf()\n",
    "fig.savefig('debt_vs_income_prediction_k50.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "knr220 = KNeighborsRegressor(n_neighbors=220)\n",
    "knr220.fit(df[['Income']], df['Debt'])\n",
    "\n",
    "income_values = np.linspace(0, 16000, 2000)\n",
    "sns.scatterplot(data=df, x='Income', y='Debt')\n",
    "sns.lineplot(income_values,\n",
    "             knr220.predict(income_values.reshape(-1, 1)),\n",
    "             color='red')\n",
    "plt.legend(['Prediction', 'Data'])\n",
    "fig = plt.gcf()\n",
    "fig.savefig('debt_vs_income_prediction_k220.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1.874703</td>\n",
       "      <td>0.034280</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1.697667</td>\n",
       "      <td>-0.259321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>0.848976</td>\n",
       "      <td>-0.407407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1.016452</td>\n",
       "      <td>0.153139</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>-0.916757</td>\n",
       "      <td>0.383583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>595</th>\n",
       "      <td>595</td>\n",
       "      <td>4.695472</td>\n",
       "      <td>0.445572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>596</th>\n",
       "      <td>596</td>\n",
       "      <td>4.321248</td>\n",
       "      <td>-0.979774</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>597</th>\n",
       "      <td>597</td>\n",
       "      <td>3.229026</td>\n",
       "      <td>-0.743452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>598</th>\n",
       "      <td>598</td>\n",
       "      <td>3.418579</td>\n",
       "      <td>-0.873572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>599</th>\n",
       "      <td>599</td>\n",
       "      <td>3.139488</td>\n",
       "      <td>-0.632026</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>600 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Unnamed: 0         x         y\n",
       "0             0  1.874703  0.034280\n",
       "1             1  1.697667 -0.259321\n",
       "2             2  0.848976 -0.407407\n",
       "3             3  1.016452  0.153139\n",
       "4             4 -0.916757  0.383583\n",
       "..          ...       ...       ...\n",
       "595         595  4.695472  0.445572\n",
       "596         596  4.321248 -0.979774\n",
       "597         597  3.229026 -0.743452\n",
       "598         598  3.418579 -0.873572\n",
       "599         599  3.139488 -0.632026\n",
       "\n",
       "[600 rows x 3 columns]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "file2 = r'D:\\Programing\\python_projects\\machine_learning_algorithm\\data_set\\clustering_example.csv'\n",
    "df = pd.read_csv(file2)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x16700e762c8>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x='x', y='y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering\n",
    "ac15 = AgglomerativeClustering(n_clusters=None, distance_threshold=15)\n",
    "labels = ac15.fit_predict(df[['x', 'y']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['cluster'] = labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1.874703</td>\n",
       "      <td>0.034280</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1.697667</td>\n",
       "      <td>-0.259321</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>0.848976</td>\n",
       "      <td>-0.407407</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1.016452</td>\n",
       "      <td>0.153139</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>-0.916757</td>\n",
       "      <td>0.383583</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>595</th>\n",
       "      <td>595</td>\n",
       "      <td>4.695472</td>\n",
       "      <td>0.445572</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>596</th>\n",
       "      <td>596</td>\n",
       "      <td>4.321248</td>\n",
       "      <td>-0.979774</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>597</th>\n",
       "      <td>597</td>\n",
       "      <td>3.229026</td>\n",
       "      <td>-0.743452</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>598</th>\n",
       "      <td>598</td>\n",
       "      <td>3.418579</td>\n",
       "      <td>-0.873572</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>599</th>\n",
       "      <td>599</td>\n",
       "      <td>3.139488</td>\n",
       "      <td>-0.632026</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>600 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Unnamed: 0         x         y  cluster\n",
       "0             0  1.874703  0.034280        0\n",
       "1             1  1.697667 -0.259321        0\n",
       "2             2  0.848976 -0.407407        0\n",
       "3             3  1.016452  0.153139        0\n",
       "4             4 -0.916757  0.383583        3\n",
       "..          ...       ...       ...      ...\n",
       "595         595  4.695472  0.445572        1\n",
       "596         596  4.321248 -0.979774        2\n",
       "597         597  3.229026 -0.743452        2\n",
       "598         598  3.418579 -0.873572        2\n",
       "599         599  3.139488 -0.632026        2\n",
       "\n",
       "[600 rows x 4 columns]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.scatterplot(data=df, x='x', y='y', hue='cluster')\n",
    "fig = plt.gcf()\n",
    "fig.savefig('four_moons_clustered.png', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ac = AgglomerativeClustering(n_clusters=None, distance_threshold=1)\n",
    "labels = ac.fit_predict(df[['x', 'y']])\n",
    "\n",
    "df['cluster'] = labels\n",
    "sns.scatterplot(data=df, x='x', y='y', hue='cluster')\n",
    "fig = plt.gcf()\n",
    "fig.savefig('four_moons_clustered_higher_threshold.png',\n",
    "            dpi=300,\n",
    "            bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x167008d3088>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import OPTICS\n",
    "op = OPTICS()\n",
    "labels = op.fit_predict(df[['x', 'y']])\n",
    "\n",
    "df['cluster'] = labels\n",
    "sns.scatterplot(data=df, x='x', y='y', hue='cluster')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x16771743e08>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ac4 = AgglomerativeClustering(n_clusters=4, linkage='single')\n",
    "labels = ac4.fit_predict(df[['x', 'y']])\n",
    "\n",
    "df['cluster'] = labels\n",
    "sns.scatterplot(data=df, x='x', y='y', hue='cluster')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
